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General Relativity: An Introduction for Physicists

Autor M. P. Hobson, G. P. Efstathiou, A. N. Lasenby
en Limba Engleză Hardback – feb 2006
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.
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Specificații

ISBN-13: 9780521829519
ISBN-10: 0521829518
Pagini: 592
Ilustrații: 94 b/w illus. 8 tables 368 exercises
Dimensiuni: 173 x 251 x 30 mm
Greutate: 1.13 kg
Editura: Cambridge University Press
Colecția Cambridge University Press
Locul publicării:Cambridge, United Kingdom

Public țintă

Academic/professional/technical: Research and professional

Cuprins

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.

Recenzii

'… 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.' 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.' 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.' General Relativity and Gravitation

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Descriere

An advanced textbook providing a clear mathematical introduction to general relativity and its physical applications.