General Relativity: An Introduction for Physicists

Sprednja platnica
Cambridge University Press, 2. feb. 2006 - 572 strani
After reviewing the basic concept of general relativity, this introduction discusses its mathematical background, including the necessary tools of tensor calculus and differential geometry. These tools are used to develop the topic of special relativity and to discuss electromagnetism in Minkowski spacetime. Gravitation as spacetime curvature is 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.
 

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Vsebina

Manifolds and coordinates
26
Vector calculus on manifolds
53
Tensor calculus on manifolds
92
Exercises
108
Exercises
131
Exercises
145
The gravitational field equations
176
The Schwarzschild geometry
196
Exercises
305
The Kerr geometry
310
The FriedmannRobertsonWalker geometry
355
Cosmological models
386
Inflationary cosmology
428
Linearised general relativity
467
Gravitational waves
498
A variational approach to general relativity
524

Experimental tests of general relativity
230
Schwarzschild black holes
248
Further spherically symmetric geometries
288

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O avtorju (2006)

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.

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