General Relativity: An Introduction for Physicists

Publisher:

Cambridge University Press

Publication date:

05 September 2012

02 February 2006

ISBN:

9780511790904

9780521829519

DOI:

https://doi.org/10.1017/CBO9780511790904

Dimensions:

(247 x 174 mm)

Weight & Pages:

1.321kg, 592 Pages

Dimensions:

Weight & Pages:

Subjects:: Physics and Astronomy, Astrophysics

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Subjects:: Physics and Astronomy, Astrophysics

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General Relativity: An Introduction for Physicists provides a clear mathematical introduction to Einstein's theory of general relativity. It presents a wide range of applications of the theory, concentrating on its physical consequences. After reviewing the basic concepts, the authors present a clear and intuitive discussion of the mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are then used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is then introduced and the field equations of general relativity derived. After applying the theory to a wide range of physical situations, the book concludes with a brief discussion of classical field theory and the derivation of general relativity from a variational principle. Written for advanced undergraduate and graduate students, this approachable textbook contains over 300 exercises to illuminate and extend the discussion in the text.

'… this book is a fine introduction and exposition of many of the theory's features. … A beautiful approach is taken: the authors show that a consistent theory of electromagnetism can be derived from the simple supposition that there is a force … I strongly recommend this book for a very wide range of readers. Advanced undergraduates will obtain a good first understanding of GR; postgraduates will find it a useful reference book, and will no doubt learn a great deal that they have not fully covered at undergraduate level. Researchers and lecturers will also find it an invaluable book, not only for recommending to students, but also for obtaining significant new insights themselves.'

Source: The Observatory

'What I enjoyed was the clarity. The text was erudite and thorough, and flowed beautifully.… It was clear that students, with diligent application, could work their own way through the text and benefit hugely from self discovery of this fascinating subject.'

Source: The Times Higher Education Supplement

'The book is well-written and easy to follow because it is essentially self-contained and every new concept is carefully motivated and justified. Exercises are given at the end of every chapter and numerous examples appear throughout the text.'

Source: General Relativity and Gravitation

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General Relativity

An Introduction for Physicists

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Contents

Frontmatter
pp i-vi

Contents
pp vii-xiv

Preface
pp xv-xviii

1 - The spacetime of special relativity
pp 1-25

2 - Manifolds and coordinates
pp 26-52

3 - Vector calculus on manifolds
pp 53-91

4 - Tensor calculus on manifolds
pp 92-110

5 - Special relativity revisited
pp 111-134

6 - Electromagnetism
pp 135-146

7 - The equivalence principle and spacetime curvature
pp 147-175

8 - The gravitational field equations
pp 176-195

9 - The Schwarzschild geometry
pp 196-229

10 - Experimental tests of general relativity
pp 230-247

11 - Schwarzschild black holes
pp 248-287

12 - Further spherically symmetric geometries
pp 288-309

13 - The Kerr geometry
pp 310-354

14 - The Friedmann–Robertson–Walker geometry
pp 355-385

15 - Cosmological models
pp 386-427

16 - Inflationary cosmology
pp 428-466

17 - Linearised general relativity
pp 467-497

18 - Gravitational waves
pp 498-523

19 - A variational approach to general relativity
pp 524-554

Bibliography
pp 555-555

Index
pp 556-572

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