General Relativity: An Introduction for Physicists

by M. P. Hobson, G. P. Efstathiou, A. N. Lasenby

Overview

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.

Product Details

ISBN-13:	9781139637091
Publisher:	Cambridge University Press
Publication date:	02/02/2006
Sold by:	Barnes & Noble
Format:	eBook
File size:	36 MB
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About the Author

Michael Hobson is a Reader in Astrophysics and Cosmology at the Cavendish Laboratory. He is also Director of Natural Sciences at Trinity Hall, Cambridge.
George Efstathiou is Director of the Institute of Astronomy, the University of Cambridge and a Fellow of the Royal Society.
Anthony Lasenby is Professor of Astrophysics and Cosmology and Head of both the Astrophysics Group and the Mullard Radio Astronomy Observatory at the University of Cambridge.

Table of Contents

1. The spacetime of special relativity; 2. Manifolds and coordinates; 3. Vector calculus on manifolds; 4. Tensor calculus on manifolds; 5. Special relativity revisited; 6. Electromagnetism; 7. The equivalence principle and spacetime curvature; 8. The gravitational field equations; 9. The Schwarzschild geometry; 10. Experimental tests of general relativity; 11. Schwarzschild black holes; 12. Further spherically-symmetric geometries; 13. The Kerr geometry; 14. The Friedmann–Robertson–Walker geometry; 15. Cosmological models; 16. Inflationary cosmology; 17. Linearised general relativity; 18. Gravitational waves; 19. A variational approach to general relativity.

Editorial Reviews

"General Relativity is written clearly... gives a good, readable introduction to the foundations and applications of general relativity theory, and it is a good choice for a general relativity course emphasizing astrophysical and cosmological applications."
Lawrence H. Ford, Tufts University for Physics Today


"Like any good book on general relativity, much is expected of the reader, but the writing is concise and elegant, with plenty of good exercises for the student to work on. The authors strike an excellent balance between the demands of mathematical rigor and physical significance."
Alan S.McRae, Mathematical Reviews

From the Publisher