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| a first course in general relativity: A First Course in General Relativity Bernard F. Schutz, 1985-01-31 This textbook develops general relativity and its associated mathematics from a minimum of prerequisites, leading to a physical understanding of the theory in some depth. |
| a first course in general relativity: A First Course in General Relativity Bernard Schutz, 2009-05-14 Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background. |
| a first course in general relativity: A Student's Manual for A First Course in General Relativity Robert B. Scott, 2016-01-21 This comprehensive student manual has been designed to accompany the leading textbook by Bernard Schutz, A First Course in General Relativity, and uses detailed solutions, cross-referenced to several introductory and more advanced textbooks, to enable self-learners, undergraduates and postgraduates to master general relativity through problem solving. The perfect accompaniment to Schutz's textbook, this manual guides the reader step-by-step through over 200 exercises, with clear easy-to-follow derivations. It provides detailed solutions to almost half of Schutz's exercises, and includes 125 brand new supplementary problems that address the subtle points of each chapter. It includes a comprehensive index and collects useful mathematical results, such as transformation matrices and Christoffel symbols for commonly studied spacetimes, in an appendix. Supported by an online table categorising exercises, a Maple worksheet and an instructors' manual, this text provides an invaluable resource for all students and instructors using Schutz's textbook. |
| a first course in general relativity: A First Course in General Relativity Bernard Schutz, 2022-05-31 Clarity, readability, and rigor combine in the third edition of this widely used textbook to provide the first step into general relativity for advanced undergraduates with a minimal background in mathematics. Topics within relativity that fascinate astrophysics researchers and students alike are covered with Schutz's characteristic ease and authority, from black holes to relativistic objects, from pulsars to the study of the Universe as a whole. This third edition contains discoveries by astronomers that require general relativity for their explanation; two chapters on gravitational waves, including direct detections of gravitational waves and their observations' impact on cosmological measurements; new information on black holes and neutron stars; and greater insight into the expansion of the Universe. Over 300 exercises, many new to this edition, give students the confidence to work with general relativity and the necessary mathematics, while the informal writing style and worked examples make the subject matter easily accessible. |
| a first course in general relativity: A Short Course in General Relativity James A. Foster, J. David Nightingale, 2010-04-30 Suitable for a one-semester course in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding. |
| a first course in general relativity: Gravity James B. Hartle, 2021-06-24 Best-selling, accessible physics-first introduction to GR uses minimal new mathematics and begins with the essential physical applications. |
| a first course in general relativity: General Relativity for Mathematicians R.K. Sachs, H.-H. Wu, 2012-12-06 This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be proved, or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics). |
| a first course in general relativity: General Relativity Robert M. Wald, 2010-05-15 Wald's book is clearly the first textbook on general relativity with a totally modern point of view; and it succeeds very well where others are only partially successful. The book includes full discussions of many problems of current interest which are not treated in any extant book, and all these matters are considered with perception and understanding.—S. Chandrasekhar A tour de force: lucid, straightforward, mathematically rigorous, exacting in the analysis of the theory in its physical aspect.—L. P. Hughston, Times Higher Education Supplement Truly excellent. . . . A sophisticated text of manageable size that will probably be read by every student of relativity, astrophysics, and field theory for years to come.—James W. York, Physics Today |
| a first course in general relativity: A Most Incomprehensible Thing Peter Collier, 2017-04-01 A straightforward, enjoyable guide to the mathematics of Einstein's relativity To really understand Einstein's theory of relativity – one of the cornerstones of modern physics – you have to get to grips with the underlying mathematics. This self-study guide is aimed at the general reader who is motivated to tackle that not insignificant challenge. With a user-friendly style, clear step-by-step mathematical derivations, many fully solved problems and numerous diagrams, this book provides a comprehensive introduction to a fascinating but complex subject. For those with minimal mathematical background, the first chapter gives a crash course in foundation mathematics. The reader is then taken gently by the hand and guided through a wide range of fundamental topics, including Newtonian mechanics; the Lorentz transformations; tensor calculus; the Einstein field equations; the Schwarzschild solution (which gives a good approximation of the spacetime of our Solar System); simple black holes, relativistic cosmology and gravitational waves. Special relativity helps explain a huge range of non-gravitational physical phenomena and has some strangely counter-intuitive consequences. These include time dilation, length contraction, the relativity of simultaneity, mass-energy equivalence and an absolute speed limit. General relativity, the leading theory of gravity, is at the heart of our understanding of cosmology and black holes. I must observe that the theory of relativity resembles a building consisting of two separate stories, the special theory and the general theory. The special theory, on which the general theory rests, applies to all physical phenomena with the exception of gravitation; the general theory provides the law of gravitation and its relations tothe other forces of nature. – Albert Einstein, 1919 Understand even the basics of Einstein's amazing theory and the world will never seem the same again. Contents: Preface Introduction 1 Foundation mathematics 2 Newtonian mechanics 3 Special relativity 4 Introducing the manifold 5 Scalars, vectors, one-forms and tensors 6 More on curvature 7 General relativity 8 The Newtonian limit 9 The Schwarzschild metric 10 Schwarzschild black holes 11 Cosmology 12 Gravitational waves Appendix: The Riemann curvature tensor Bibliography Acknowledgements January 2019. This third edition has been revised to make the material even more accessible to the enthusiastic general reader who seeks to understand the mathematics of relativity. |
| a first course in general relativity: The Geometry of Spacetime James J. Callahan, 2013-03-09 Hermann Minkowski recast special relativity as essentially a new geometric structure for spacetime. This book looks at the ideas of both Einstein and Minkowski, and then introduces the theory of frames, surfaces and intrinsic geometry, developing the main implications of Einstein's general relativity theory. |
| a first course in general relativity: Gravity from the Ground Up Bernard Schutz, 2003-12-04 This book invites the reader to understand our Universe, not just marvel at it. From the clock-like motions of the planets to the catastrophic collapse of a star into a black hole, gravity controls the Universe. Gravity is central to modern physics, helping to answer the deepest questions about the nature of time, the origin of the Universe and the unification of the forces of nature. Linking key experiments and observations through careful physical reasoning, the author builds the reader's insight step-by-step from simple but profound facts about gravity on Earth to the frontiers of research. Topics covered include the nature of stars and galaxies, the mysteries of dark matter and dark energy, black holes, gravitational waves, inflation and the Big Bang. Suitable for general readers and for undergraduate courses, the treatment uses only high-school level mathematics, supplemented by optional computer programs, to explain the laws of physics governing gravity. |
| a first course in general relativity: Differential Forms and the Geometry of General Relativity Tevian Dray, 2014-10-20 Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity. The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of index gymnastics as much as possible. The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity. |
| a first course in general relativity: Introduction To Spacetime: A First Course On Relativity Bertel Laurent, 1995-01-16 The theory of relativity is tackled directly in this book, dispensing with the need to establish the insufficiency of Newtonian mechanics. This book takes advantage from the start of the geometrical nature of the relativity theory. The reader is assumed to be familiar with vector calculus in ordinary three-dimensional Euclidean space. |
| a first course in general relativity: Introduction to General Relativity Cosimo Bambi, 2018-06-18 Following the approach of Lev Landau and Evgenii Lifshitz, this book introduces the theory of special and general relativity with the Lagrangian formalism and the principle of least action. This method allows the complete theory to be constructed starting from a small number of assumptions, and is the most natural approach in modern theoretical physics. The book begins by reviewing Newtonian mechanics and Newtonian gravity with the Lagrangian formalism and the principle of least action, and then moves to special and general relativity. Most calculations are presented step by step, as is done on the board in class. The book covers recent advances in gravitational wave astronomy and provides a general overview of current lines of research in gravity. It also includes numerous examples and problems in each chapter. |
| a first course in general relativity: General Relativity John Legat Martin, 1996 |
| a first course in general relativity: Modern General Relativity Mike Guidry, 2019-01-03 Einstein's general theory of relativity is widely considered to be one of the most elegant and successful scientific theories ever developed, and it is increasingly being taught in a simplified form at advanced undergraduate level within both physics and mathematics departments. Due to the increasing interest in gravitational physics, in both the academic and the public sphere, driven largely by widely-publicised developments such as the recent observations of gravitational waves, general relativity is also one of the most popular scientific topics pursued through self-study. Modern General Relativity introduces the reader to the general theory of relativity using an example-based approach, before describing some of its most important applications in cosmology and astrophysics, such as gamma-ray bursts, neutron stars, black holes, and gravitational waves. With hundreds of worked examples, explanatory boxes, and end-of-chapter problems, this textbook provides a solid foundation for understanding one of the towering achievements of twentieth-century physics. |
| a first course in general relativity: Sidney Coleman's Lectures on Relativity David J. Griffiths, David Derbes, Richard B. Sohn, 2022-01-13 Sidney Coleman (1937–2007) earned his doctorate at Caltech under Murray Gell-Mann. Before completing his thesis, he was hired by Harvard and remained there his entire career. A celebrated particle theorist, he is perhaps best known for his brilliant lectures, given at Harvard and in a series of summer school courses at Erice, Sicily. Three times in the 1960s he taught a graduate course on Special and General Relativity; this book is based on lecture notes taken by three of his students and compiled by the Editors. |
| a first course in general relativity: Foundations of General Relativity Klaas Landsman, 2021-10-08 This book, dedicated to Roger Penrose, is a second, mathematically oriented course in general relativity. It contains extensive references and occasional excursions in the history and philosophy of gravity, including a relatively lengthy historical introduction. The book is intended for all students of general relativity of any age and orientation who have a background including at least first courses in special and general relativity, differential geometry, and topology. The material is developed in such a way that through the last two chapters the reader may acquire a taste of the modern mathematical study of black holes initiated by Penrose, Hawking, and others, as further influenced by the initial-value or PDE approach to general relativity. Successful readers might be able to begin reading research papers on black holes, especially in mathematical physics and in the philosophy of physics. The chapters are: Historical introduction, General differential geometry, Metric differential geometry, Curvature, Geodesics and causal structure, The singularity theorems of Hawking and Penrose, The Einstein equations, The 3+1 split of space-time, Black holes I: Exact solutions, and Black holes II: General theory. These are followed by two appendices containing background on Lie groups, Lie algebras, & constant curvature, and on Formal PDE theory. |
| a first course in general relativity: Spacetime and Geometry Sean M. Carroll, 2019-08-08 An accessible introductory textbook on general relativity, covering the theory's foundations, mathematical formalism and major applications. |
| a first course in general relativity: Spacetime Physics Edwin F. Taylor, John Archibald Wheeler, 1992-03-15 This thoroughly up-to-date, highly accessible overview covers microgravity, collider accelerators, satellite probes, neutron detectors, radioastronomy, and pulsars. |
| a first course in general relativity: General Relativity Without Calculus Jose Natario, 2011-07-30 “General Relativity Without Calculus” offers a compact but mathematically correct introduction to the general theory of relativity, assuming only a basic knowledge of high school mathematics and physics. Targeted at first year undergraduates (and advanced high school students) who wish to learn Einstein’s theory beyond popular science accounts, it covers the basics of special relativity, Minkowski space-time, non-Euclidean geometry, Newtonian gravity, the Schwarzschild solution, black holes and cosmology. The quick-paced style is balanced by over 75 exercises (including full solutions), allowing readers to test and consolidate their understanding. |
| a first course in general relativity: Problem Book in Relativity and Gravitation Alan P. Lightman, William H. Press, Richard H. Price, Saul A. Teukolsky, 2017-09-01 An essential resource for learning about general relativity and much more, from four leading experts Important and useful to every student of relativity, this book is a unique collection of some 475 problems--with solutions--in the fields of special and general relativity, gravitation, relativistic astrophysics, and cosmology. The problems are expressed in broad physical terms to enhance their pertinence to readers with diverse backgrounds. In their solutions, the authors have attempted to convey a mode of approach to these kinds of problems, revealing procedures that can reduce the labor of calculations while avoiding the pitfall of too much or too powerful formalism. Although well suited for individual use, the volume may also be used with one of the modem textbooks in general relativity. |
| a first course in general relativity: Gravitation Charles W. Misner, Kip S. Thorne, John Archibald Wheeler, 2017-10-24 Spacetime physics -- Physics in flat spacetime -- The mathematics of curved spacetime -- Einstein's geometric theory of gravity -- Relativistic stars -- The universe -- Gravitational collapse and black holes -- Gravitational waves -- Experimental tests of general relativity -- Frontiers |
| a first course in general relativity: General Relativity and the Einstein Equations Yvonne Choquet-Bruhat, 2009 General Relativity has passed all experimental and observational tests to model the motion of isolated bodies with strong gravitational fields, though the mathematical and numerical study of these motions is still in its infancy. It is believed that General Relativity models our cosmos, with a manifold of dimensions possibly greater than four and debatable topology opening a vast field of investigation for mathematicians and physicists alike. Remarkable conjectures have been proposed, many results have been obtained but many fundamental questions remain open. In this monograph, aimed at researchers in mathematics and physics, the author overviews the basic ideas in General Relativity, introduces the necessary mathematics and discusses some of the key open questions in the field. |
| a first course in general relativity: Gravitation T. Padmanabhan, 2010-01-28 Covering all aspects of gravitation in a contemporary style, this advanced textbook is ideal for graduate students and researchers in all areas of theoretical physics. The 'Foundation' section develops the formalism in six chapters, and uses it in the next four chapters to discuss four key applications - spherical spacetimes, black holes, gravitational waves and cosmology. The six chapters in the 'Frontier' section describe cosmological perturbation theory, quantum fields in curved spacetime, and the Hamiltonian structure of general relativity, among several other advanced topics, some of which are covered in-depth for the first time in a textbook. The modular structure of the book allows different sections to be combined to suit a variety of courses. Over 200 exercises are included to test and develop the reader's understanding. There are also over 30 projects, which help readers make the transition from the book to their own original research. |
| a first course in general relativity: A Student's Guide to General Relativity Norman Gray, 2019-01-03 Vectors, tensors and functions -- Manifolds, vectors and differentiation -- Energy, momentum and Einstein's equations |
| a first course in general relativity: Geometrical Methods of Mathematical Physics Bernard F. Schutz, 1980-01-28 In recent years the methods of modern differential geometry have become of considerable importance in theoretical physics and have found application in relativity and cosmology, high-energy physics and field theory, thermodynamics, fluid dynamics and mechanics. This textbook provides an introduction to these methods - in particular Lie derivatives, Lie groups and differential forms - and covers their extensive applications to theoretical physics. The reader is assumed to have some familiarity with advanced calculus, linear algebra and a little elementary operator theory. The advanced physics undergraduate should therefore find the presentation quite accessible. This account will prove valuable for those with backgrounds in physics and applied mathematics who desire an introduction to the subject. Having studied the book, the reader will be able to comprehend research papers that use this mathematics and follow more advanced pure-mathematical expositions. |
| a first course in general relativity: General Relativity and Cosmology Ronald J. Adler, 2021-01-22 Gravitational physics has now become a mainstream topic in physics and physics teaching. In particular cosmology and gravitational wave physics are at the focus of a great deal of current research. Thus it is important to introduce students to General Relativity as soon as reasonable. This textbook offers a brief but comprehensive treatment accessible to advanced undergraduate students, graduate students, and any physicist or mathematician interested in understanding the material in a short time. The author, an experienced teacher of the subject, has included numerous examples and exercises to help students consolidate the ideas they have learned. Solutions to the exercises are provided as supplementary material in the online chapters. |
| a first course in general relativity: A General Relativity Workbook Thomas A. Moore, 2015-03-06 |
| a first course in general relativity: Einstein Gravity in a Nutshell A. Zee, 2013-05-05 An ideal introduction to Einstein's general theory of relativity This unique textbook provides an accessible introduction to Einstein's general theory of relativity, a subject of breathtaking beauty and supreme importance in physics. With his trademark blend of wit and incisiveness, A. Zee guides readers from the fundamentals of Newtonian mechanics to the most exciting frontiers of research today, including de Sitter and anti-de Sitter spacetimes, Kaluza-Klein theory, and brane worlds. Unlike other books on Einstein gravity, this book emphasizes the action principle and group theory as guides in constructing physical theories. Zee treats various topics in a spiral style that is easy on beginners, and includes anecdotes from the history of physics that will appeal to students and experts alike. He takes a friendly approach to the required mathematics, yet does not shy away from more advanced mathematical topics such as differential forms. The extensive discussion of black holes includes rotating and extremal black holes and Hawking radiation. The ideal textbook for undergraduate and graduate students, Einstein Gravity in a Nutshell also provides an essential resource for professional physicists and is accessible to anyone familiar with classical mechanics and electromagnetism. It features numerous exercises as well as detailed appendices covering a multitude of topics not readily found elsewhere. Provides an accessible introduction to Einstein's general theory of relativity Guides readers from Newtonian mechanics to the frontiers of modern research Emphasizes symmetry and the Einstein-Hilbert action Covers topics not found in standard textbooks on Einstein gravity Includes interesting historical asides Features numerous exercises and detailed appendices Ideal for students, physicists, and scientifically minded lay readers Solutions manual (available only to teachers) |
| a first course in general relativity: Introduction to General Relativity Lewis Ryder, 2020-01-16 A student-friendly style, over 100 illustrations, and numerous exercises are brought together in this textbook for advanced undergraduate and beginning graduate students in physics and mathematics. Lewis Ryder develops the theory of general relativity in detail. Covering the core topics of black holes, gravitational radiation, and cosmology, he provides an overview of general relativity and its modern ramifications. The book contains chapters on gravitational radiation, cosmology, and connections between general relativity and the fundamental physics of the microworld. It explains the geometry of curved spaces and contains key solutions of Einstein's equations - the Schwarzschild and Kerr solutions. Mathematical calculations are worked out in detail, so students can develop an intuitive understanding of the subject, as well as learn how to perform calculations. The book also includes topics concerned with the relation between general relativity and other areas of fundamental physics. Selected solutions for instructors are available under Resources. |
| a first course in general relativity: Foundations of Modern Physics Steven Weinberg, 2021-04-22 Nobel Laureate Steven Weinberg explains the foundations of modern physics in historical context for undergraduates and beyond. |
| a first course in general relativity: All the Mathematics You Missed Thomas A. Garrity, 2004 |
| a first course in general relativity: Introduction to General Relativity, Black Holes, and Cosmology Yvonne Choquet-Bruhat, 2015 A precise yet simple introduction to the foundations and main consequences of General Relativity. The first five chapters from Choquet-Bruhat's General Relativity and the Einstein Equations (2008) have been updated with new sections and chapters on black holes, gravitational waves, singularities and more to form this textbook. |
| a first course in general relativity: The Theoretical Minimum Leonard Susskind, George Hrabovsky, 2014-04-22 A master teacher presents the ultimate introduction to classical mechanics for people who are serious about learning physics Beautifully clear explanations of famously 'difficult' things, -- Wall Street Journal If you ever regretted not taking physics in college -- or simply want to know how to think like a physicist -- this is the book for you. In this bestselling introduction to classical mechanics, physicist Leonard Susskind and hacker-scientist George Hrabovsky offer a first course in physics and associated math for the ardent amateur. Challenging, lucid, and concise, The Theoretical Minimum provides a tool kit for amateur scientists to learn physics at their own pace. |
| a first course in general relativity: A First Course on Symmetry, Special Relativity and Quantum Mechanics Gabor Kunstatter, Saurya Das, 2020-10-19 This book provides an in-depth and accessible description of special relativity and quantum mechanics which together form the foundation of 21st century physics. A novel aspect is that symmetry is given its rightful prominence as an integral part of this foundation. The book offers not only a conceptual understanding of symmetry, but also the mathematical tools necessary for quantitative analysis. As such, it provides a valuable precursor to more focused, advanced books on special relativity or quantum mechanics. Students are introduced to several topics not typically covered until much later in their education.These include space-time diagrams, the action principle, a proof of Noether's theorem, Lorentz vectors and tensors, symmetry breaking and general relativity. The book also provides extensive descriptions on topics of current general interest such as gravitational waves, cosmology, Bell's theorem, entanglement and quantum computing. Throughout the text, every opportunity is taken to emphasize the intimate connection between physics, symmetry and mathematics.The style remains light despite the rigorous and intensive content. The book is intended as a stand-alone or supplementary physics text for a one or two semester course for students who have completed an introductory calculus course and a first-year physics course that includes Newtonian mechanics and some electrostatics. Basic knowledge of linear algebra is useful but not essential, as all requisite mathematical background is provided either in the body of the text or in the Appendices. Interspersed through the text are well over a hundred worked examples and unsolved exercises for the student. |
| a first course in general relativity: Geometric Relativity Dan A. Lee, 2019-09-25 Many problems in general relativity are essentially geometric in nature, in the sense that they can be understood in terms of Riemannian geometry and partial differential equations. This book is centered around the study of mass in general relativity using the techniques of geometric analysis. Specifically, it provides a comprehensive treatment of the positive mass theorem and closely related results, such as the Penrose inequality, drawing on a variety of tools used in this area of research, including minimal hypersurfaces, conformal geometry, inverse mean curvature flow, conformal flow, spinors and the Dirac operator, marginally outer trapped surfaces, and density theorems. This is the first time these topics have been gathered into a single place and presented with an advanced graduate student audience in mind; several dozen exercises are also included. The main prerequisite for this book is a working understanding of Riemannian geometry and basic knowledge of elliptic linear partial differential equations, with only minimal prior knowledge of physics required. The second part of the book includes a short crash course on general relativity, which provides background for the study of asymptotically flat initial data sets satisfying the dominant energy condition. |
| a first course in general relativity: A First Course in String Theory Barton Zwiebach, 2009-01-22 String theory made understandable. Barton Zwiebach is once again faithful to his goal of making string theory accessible to undergraduates. He presents the main concepts of string theory in a concrete and physical way to develop intuition before formalism, often through simplified and illustrative examples. Complete and thorough in its coverage, this new edition now includes AdS/CFT correspondence and introduces superstrings. It is perfectly suited to introductory courses in string theory for students with a background in mathematics and physics. New sections cover strings on orbifolds, cosmic strings, moduli stabilization, and the string theory landscape. Now with almost 300 problems and exercises, with password-protected solutions for instructors at www.cambridge.org/zwiebach. |
| a first course in general relativity: Gravitation Pierre Fleury, 2019-11-13 This primer proposes a journey from Newton's dynamics to Einstein's relativity. It constitutes a pedagogical, rigorous, and self-contained introduction to the concepts and mathematical formulation of gravitational physics.In particular, much attention is devoted to exploring and applying the basic tools of differential geometry, that is the language of general relativity. Real-world manifestations of relativity, such as time dilation, gravitational waves, and black holes, are also discussed in detail. This book is designed for third-year bachelor or first-year master students in theoretical physics, who are already familiar with Newton's physics, possibly had an introductory course on special relativity, and who are seeking to learn general relativity on a firm basis. |
| a first course in general relativity: General Relativity Ghanashyam Date, 2014-12-03 A Broad Perspective on the Theory of General Relativity and Its Observable Implications General Relativity: Basics and Beyond familiarizes students and beginning researchers with the basic features of the theory of general relativity as well as some of its more advanced aspects. Employing the pedagogical style of a textbook, it includes essential ideas and just enough background material needed for readers to appreciate the issues and current research. Basics The first five chapters form the core of an introductory course on general relativity. The author traces Einstein’s arguments and presents examples of space-times corresponding to different types of gravitational fields. He discusses the adaptation of dynamics in a Riemannian geometry framework, the Einstein equation and its elementary properties, and different phenomena predicted or influenced by general relativity. Beyond Moving on to more sophisticated features of general relativity, the book presents the physical requirements of a well-defined deterministic framework for non-gravitational dynamics and describes the characterization of asymptotic space-times. After covering black holes, gravitational waves, and cosmological space-times, the book examines the evolutionary interpretation for the class of globally hyperbolic space-times, explores numerical relativity, and discusses approaches that address the challenges of general relativity. |
A First Course In General Relativity - archive.ncarb.org
A First Course in General Relativity Bernard Schutz,2009-05-14 Second edition of a widely used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background A Student's Manual for A First Course in General Relativity Robert B. Scott,2016 This comprehensive student manual has been ...
A First Course In General Relativity Copy - wclc2018.iaslc.org
A First Course in General Relativity - Texas A&M University A First Course in General Relativity Bernard F Schutz (2nd Edition, Cambridge University Press, 2009) Errata (Version 1.0, February 2011) This document contains corrections to known errors in the rst
A Short Course in General Relativity, Third Edition - Minia
have been exposed to special relativity in their introductory modern physics courses (most likely in their sophomore year) it is unlikely that they have used the standard4-vectormethods, and so wesupply such a review in Appendix A. We strongly advise reading Appendix A first. Most students approaching general relativity require an introduction to
INTRODUCTION TO GENERAL RELATIVITY
relativity to general relativity. In special relativity, the i has a considerable practical advantage: Lorentz transformations are orthogonal, and all inner products only come with + signs. No confusion over signs remain. The use of a + ++ metric, or worse even, a + metric, inevitably leads to sign errors. In general relativity, however,
General Relativity v 2 - Heidelberg University
the notation follow quite closely B. Schutz, A First Course on General Relativity, (Cambridge UP) which is the textbook recommended for this course. AnotherusefultextisS.Carroll,Introduction to Space-Time. For gravitational waves, see also M. Maggiore, Gravitational Waves, Vol I. …
Book Review: “A Short Course in General Relativity”
The book “A Short Course in General Relativity” by James Foster and J. David Nightingale [1, 2] is reviewed. ... They do this in the first three chapters by taking you first from the known world
A First Course in General Relativity - Texas A&M University
A First Course in General Relativity Bernard F Schutz (2nd Edition, Cambridge University Press, 2009) Errata (Version 1.0, February 2011) This document contains corrections to known errors in the rst printing (2009) of the second edition of A First Course in General Relativity. The book was reprinted with these corrections in 2011. Bernard Schutz
Physics 407: Introduction to General Relativity - University of …
Rindler, Essential Relativity, Schutz, A First Course in General Relativity, Wald, General Relativity, Misner, Thorne, Wheeler, Gravitation, Feynman, Lectures on General Relativity. Grading of Course Weekly Homework: counts for 20% of your grade. You may consult with classmates, but all work you turn in must be your own and re
General Relativity: An introduction to black holes ... - IOPscience
A First Course in General Relativity (Second Edition) Eric Poisson Explanation of Light Deflection, Precession of Mercury’s Perihelion, Gravitational Red Shift and Rotation Curves in Galaxies, by using General Relativity or equivalent Generalized Scalar Gravitational Potential, according to Special Relativity and Newtonian Physics
Lecture Notes on General Relativity - 中国科学技术大学
Lecture Notes on General Relativity Sean M. Carroll Institute for Theoretical Physics University of California Santa Barbara, CA 93106 carroll@itp.ucsb.edu December 1997 ... • B.F. Schutz, A First Course in General Relativity (Cambridge, 1985) [*]. This is a very nice introductory text. Especially useful if, for example, you aren’t quite ...
CONTENTS 1 INTRODUCTION General Relativity Contents
\A rst course in general relativity", Bernard F Schutz, Cambridge University Press, 1985, 400 pages. First recommendation. Good beginner’s book with very lit-tle assumed background. Covers the course but not much more. \General Relativity", Robert M Wald, U. Chicago press, 1984, 500 pages. Not well suited to beginners, but
PHYS / ASTR 515: General Relativity I – Fall 2023
into the mathematics that are important in General Relativity, so the first half of this class is quite mathe-matical. Topics covered in the first half of the course include modern differential geometry, tensor analysis, and the foundations of General Relativity. The second half of the course presents the physical consequences
General Relativity - University of Cambridge
General Relativity University of Cambridge Part III Mathematical Tripos ... 4.3.2 A First Look at Conserved Quantities 163 4.3.3 Komar Integrals 165 4.4 Asymptotics of Spacetime 167 ... Of course, the theory of special relativity tells us the answer. Since no signal can
Lecture Notes on General Relativity - arXiv.org
Lecture Notes on General Relativity Sean M. Carroll Institute for Theoretical Physics University of California Santa Barbara, CA 93106 carroll@itp.ucsb.edu December 1997 ... • B.F. Schutz, A First Course in General Relativity (Cambridge, 1985) [*]. This is a very nice introductory text. Especially useful if, for example, you aren’t quite ...
INTRODUCTION TO GENERAL RELATIVITY - Universiteit Utrecht
relativity to general relativity. In special relativity, the i has a considerable practical advantage: Lorentz transformations are orthogonal, and all inner products only come with + signs. No confusion over signs remain. The use of a ¡ + ++ metric, or worse even, a + ¡ ¡¡ metric, inevitably leads to sign errors. In general relativity, however,
GENERAL RELATIVITY - University of Oxford Department of …
requires general relativity because the frames are noninertial." Ine able twaddle. Special relativity certainly doesn’t cower before simple kinematical acceler-ation. On the other hand, acceleration, even just uniform acceleration in one dimension, is not ... Of course, we can choose a di erent initial condition for x(t), e.g x(0) = c2=a 0 ...
General Relativity and Cosmology - I Graduate School - First …
R. d’Inverno: General Relativity, 4. B. F. Shutz: First Course in General Relativity, 5. J. L. Synge: General Theory of Relativity, ... Notes on GR which are recent and follow modern notation: [S. Caroll: General Relativity (available online)] Author: CTPF Created Date: 10/15/2015 2:47:31 PM ...
GENERAL RELATIVITY - University of Oxford Department of …
2a) First, let us assume that particles are neither created or destroyed. So particle number is conserved. If nis the particle number density in the local rest frame of the ow, then the particle ux is J = nU , where U is the ow 4-velocity. Justify this statement, and using x4.5 in the notes, show that particle number conservation implies: J ; = 0:
Lecture Notes on General Relativity - 中国科学技术大学
Lecture Notes on General Relativity Sean M. Carroll Institute for Theoretical Physics University of California Santa Barbara, CA 93106 carroll@itp.ucsb.edu December 1997 ... • B.F. Schutz, A First Course in General Relativity (Cambridge, 1985) [*]. This is a very nice introductory text. Especially useful if, for example, you aren’t quite ...
Contents
Cambridge University Press 978-1-107-63857-0 — A Student's Manual for A First Course in General Relativity Robert B. Scott Table of Contents More Information
String Theory - University of Cambridge
B. Zwiebach, A First Course in String Theory This book grew out of a course given to undergraduates who had no previous exposure to general relativity or quantum eld theory. It has wonderful pedagogical discussions of the basics of lightcone quantization. More surprisingly, it also has some very clear
Honours General Relativity Course, 2018 - astronomy.swin.edu.au
A General Relativity Workbook by Thomas A. Moore This book should be available in the Swinburne library and bookstore. Other useful textbooks are: A First Course in General Relativity by Bernard Schutz An Introduction to Einstein’s General Relativity by James B. Hartle Spacetime and Geometry: An Introduction to General Relativity by Sean M ...
Teaching general relativity to undergraduates - University of …
that type include A First Course in General Relativ-ity by Bernard Schutz and Gravitation and Space-time by Hans Ohanian and Remo Ruffini. (For bib-liographic information for these and all general relativity textbooks cited in this article, see the box on page 44.) Almost all undergraduate general relativity
Relativity: The Special and General Theory - The Public's Library …
The general theory of relativity, together with the necessary parts of the theory of invariants, is dealt with in the ... His first wife, whom he married at Berne in 1903, was a fellow-student from Serbia. There were ... course of its publication. ROBERT W. …
A First Course in Loop Quantum Gravity - LSU
A First Course in Loop Quantum Gravity This article has been downloaded from IOPscience. Please scroll down to see the full text article. 2012 Class. Quantum Grav. 29 249001 ... general relativity and quantum field theory, ending with a tour on current (loop) quantum gravity research. This is all done in a short 173 pages!
Mathematical Topics of General Relativity - LTCC
A first course in General Relativity that discusses the Schwarzschild spacetime. Acquaintance with the basic notions of Differential Geometry will also be of advantage. Format: - The format of the course will combine slides presentations with some blackboard calculations. The course will be based on personal notes on the above topics.
General Relativity - University of Cambridge
General Relativity University of Cambridge Part III Mathematical Tripos ... 4.3.2 A First Look at Conserved Quantities 163 4.3.3 Komar Integrals 165 4.4 Asymptotics of Spacetime 167 ... Of course, the theory of special relativity tells us the answer. Since no signal can
General Relativity An Einstein Centenary Survey - WCBI-TV
A First Course in General Relativity Bernard Schutz,2009-05-14 Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background. Deterministic Chaos in General Relativity David Hobill,Adrian Burd,A.A. Coley,2013-06-29 Nonlinear dynamical systems
Honours General Relativity Course, 2018 - Swinburne
A General Relativity Workbook by Thomas A. Moore This book should be available in the Swinburne library and bookstore. Other useful textbooks are: A First Course in General Relativity by Bernard Schutz An Introduction to Einstein’s General Relativity by James B. Hartle Spacetime and Geometry: An Introduction to General Relativity by Sean M ...
SH2372 General Relativity, 6 credits Period 2, Fall 2021, …
Schutz Bernard Schutz, A First Course in General Relativity, 2nd ed., Cambridge (2009) Wald Robert M. Wald, General Relativity, Chicago (1984) Carroll, Cheng, Schutz, and Wald can be used as alternative books to Guidry or as complements. Course contents • Local coordinates on manifolds. Covariant and contravariant vector and tensor fields.
Mathematical Topics of General Relativity - LTCC
A first course in General Relativity that discusses the Schwarzschild spacetime. Acquaintance with the basic notions of Differential Geometry will also be of advantage. Format: - The format of the course will combine slides presentations with some blackboard calculations. The course will be based on personal notes on the above topics.
Physics 514: General Relativity - McGill University
Physics 514: General Relativity Class: Monday & Wednesday, 8:35-9:55 AM from January 5 to April 8, unless we can resched-ule. There will be no class on Feb 21 or 23. ... Schutz, \A First Course in General Relativity." A very readable text at a slightly lower level than this course. Highly recommended. Einstein, "The Meaning of Relativity ...
Quantum Gravity I: Canonical General Relativity - uni-regensburg.de
Special relativity Useful knowledge (basic introductions are provided for what is necessary for this course): Classical eld theory Gauge theory Quantum mechanics General relativity Quantum eld theory Di erential geometry Lie groups About this script: Italic comments are to be presented only orally, whereas standard font is to be written on the ...
General Relativity (M24) - University of Cambridge
Most students attending this course have already taken an introductory course in General Relativity (e.g. the Part II course). If you have not studied GR before then you should read an introductory book (e.g. Hartle or Rindler) before attending this course. Certain topics usually covered in a rst course, e.g. the solar system tests of GR, will ...
A College Course On Relativity And Cosmology
in general relativity for senior undergraduates or beginning graduate students, this text clarifies the mathematical aspects of Einstein's theory of relativity without sacrificing physical understanding. A First Course in General Relativity Bernard F. Schutz,1985-01-31 This textbook develops general relativity and its
LTCC Basic Course
A first course in General Relativity that discusses the Schwarzschild spacetime. Acquaintance with the basic notions of Differential Geometry will also be of advantage. Format: - The format of the course will combine slides presentations with some blackboard calculations. The course will be based on personal notes on the above topics.
General Relativity: An Informal Primer - MIT - Massachusetts …
General Relativity: An Informal Primer David Kaiser Center for Theoretical Physics, MIT 1 Introduction General relativity, and its application to cosmological models such as in ation, is a remark-ably beautiful and elegant theory. Yet newcomers to the eld often face at least three types of challenges: conceptual, mathematical, and notational.
UNIVERSITY OF MARYLAND, College Park - UMD
Description: This is an introductory course on the basic principles of general relativity theory and quantitative description of the nature and dynamics of spacetime and matter. We shall introduce ideas and ... Bernard F. Schutz, A First Course in General Relativity, 2nd edition (Cambridge, 2009) - QC173.55 ISBN
Schutz A First Course In General Relativity Copy - Piedmont …
Schutz A First Course In General Relativity and Bestseller Lists 5. Accessing Schutz A First Course In General Relativity Free and Paid eBooks Schutz A First Course In General Relativity Public Domain eBooks Schutz A First Course In General Relativity eBook Subscription Services Schutz A First Course In General Relativity Budget-Friendly Options 6.
A First Course In General Relativity - archive.ncarb.org
A First Course in General Relativity Bernard Schutz,2009-05-14 Second edition of a widely used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background A Student's Manual for A First Course in General Relativity Robert B. Scott,2016-01-21 This comprehensive student manual has ...
Lecture Notes on General Relativity Columbia University
of this course is to highlight the geometric character of General Relativity and unveil the fascinating properties of black holes, one of the most celebrated predictions of mathematical physics. The course will start with a self-contained introduction to special relativity and then proceed to the more general setting of Lorentzian manifolds.
RQWKHLQIOXHQFHRIGLIIHUHQWGDPDJH Introduction to …
24 Dec 2023 · A First Course in General Relativity (Second Edition) Eric Poisson-This content was downloaded from IP address 40.77.167.25 on 24/12/2023 at 13:15. Content from this work may be used under the terms of the CreativeCommonsAttribution …
First course handout for PHY-407/SE 315 (Special and General Relativity)
First course handout for PHY-407/SE 315 (Special and General Relativity) Instructor: Kaushik Bhattacharya Department of Physics, IIT Kanpur Email: kaushikb@iitk.ac.in Motivation: Special Theory of Relativity (STR) and General Theory of Relativity (GTR) are the pillars of modern physics. While STR dictates most of the relevant
Solution Wald Problems General Relativity - Washington Trails …
A First Course in General Relativity Bernard Schutz,2009-05-14 Second edition of a widely-used textbook providing the first step into general relativity for undergraduate students with minimal mathematical background. A General Relativity Workbook Thomas A. Moore,2015-03-06 ...
Lecture Notes on General Relativity - UCM
full of boxes, tables and citations. Multiple perspectives on General Relativity. Prob-ably a bit overwhelming as a textbook for a first course in General Relativity, but recommended as a supplementary text. (−+ ++) • General Relativity by Robert. M. Wald. More focused on the mathematical formal-ism than on developing the physical insight.
General Relativity Without Calculus Jose Natario Full PDF
General Relativity Without Calculus Jose Natario: General Relativity Without Calculus Jose Natario,2011-07-30 General Relativity Without Calculus offers a compact but mathematically correct introduction to the general theory of relativity assuming only a …
PHYS11010: General Relativity 2020–2021 H - Royal …
• Hobson, Efstathiou & Lasenby (Cambridge): General Relativity: An introduction for Physi-cists. This is fairly close in level and approach to this course. • Ohanian & Ruffini (Cambridge): Gravitation and Spacetime (3rd edition). A similar level to Hobson et al. with some interesting insights on the electromagnetic analogy.
