Exact Space-Times in Einstein's General Relativity

Capa
Cambridge University Press, 15 de out de 2009
Einstein's theory of general relativity is a theory of gravity and, as in the earlier Newtonian theory, much can be learnt about the character of gravitation and its effects by investigating particular idealised examples. This book describes the basic solutions of Einstein's equations with a particular emphasis on what they mean, both geometrically and physically. Concepts such as big bang and big crunch-types of singularities, different kinds of horizons and gravitational waves, are described in the context of the particular space-times in which they naturally arise. These notions are initially introduced using the most simple and symmetric cases. Various important coordinate forms of each solution are presented, thus enabling the global structure of the corresponding space-time and its other properties to be analysed. The book is an invaluable resource both for graduate students and academic researchers working in gravitational physics.
 

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Conteúdo

Basic tools and concepts
5
Minkowski spacetime
27
de Sitter spacetime
41
Antide Sitter spacetime
55
FriedmannLemaˆıtreRobertsonWalker spacetimes
67
Electrovacuum and related background spacetimes
95
Schwarzschild spacetime
106
Spacetimes related to Schwarzschild
127
Further solutions for uniformly accelerating particles
291
PlebanskiDemianski solutions
304
Plane and ppwaves
323
Kundt solutions
336
RobinsonTrautman solutions
361
Impulsive waves
392
Colliding plane waves
412
A final miscellany
438

Static axially symmetric spacetimes
169
Rotating black holes
194
TaubNUT spacetime
213
Stationary axially symmetric spacetimes
238
Accelerating black holes
258
Appendix A 2spaces of constant curvature
462
Appendix B 3spaces of constant curvature
470
References
477
Index
520
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