Einstein's General Theory of Relativity: With Modern Applications in Cosmology

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Springer Science & Business Media, May 4, 2007 - Mathematics - 538 pages
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This book introduces the general theory of relativity and includes applications to cosmology. The book provides a thorough introduction to tensor calculus and curved manifolds. After the necessary mathematical tools are introduced, the authors offer a thorough presentation of the theory of relativity. Also included are some advanced topics not previously covered by textbooks, including Kaluza-Klein theory, Israel's formalism and branes. Anisotropic cosmological models are also included. The book contains a large number of new exercises and examples, each with separate headings. The reader will benefit from an updated introduction to general relativity including the most recent developments in cosmology.

  

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Contents

Problems
17
Chapter 2
21
T 49
37
GENERAL THEORY OF RELATIVITY
48
Chapter 3
54
4
63
Problems
84
Chapter 5
89
11Gravitationalcollapse
301
Universe Models with Vacuum Energy
304
Problems
359
AnisotropicandInhomogeneousUniverseModels
367
Chapter 13
379
Problems
383
Problems
433
The Metric Junction Method 16 1 The relativistic theory of surface layers 439
441

6
109
151
150
Chapter 7
161
III
179
Problems
192
Chapter 9
195
The Schwarzschild Solution and Black Holes
215
Chapter 10
256
Homogeneous and Isotropic Universe Models
267
Chapter 11
276
Chapter 16
450
Braneworlds
452
Chapter 18
478
KaluzaKleinTheory
481
A
503
D
517
Bibliography
523
Index
533
Copyright

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About the author (2007)

Both authors are researchers in general relativity with particular emphasis on cosmology.  They have earned the following honors:  Illustrert Vitenskaps research prize (1988), The King's Gold Medal (1990), 2nd prize, Smith-Knight Rayleight-Knight prizes, Cambridge University (2003), and Research Prize of Oslo College of Engineering (2004).

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