Exact Space-Times in Einstein's General Relativity

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  • Edition: 1st
  • Format: Hardcover
  • Copyright: 2009-11-16
  • Publisher: Cambridge University Press
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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. New 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.

Table of Contents

Basic tools and concepts
Minkowski space-time
de Sitter space-time
Anti-de Sitter space-time
Friedmann-Lema(r)tre-Robertson-Walker space-times
Electrovacuum and related background space-times
Schwarzchild space-time
Space-times related to Schwarzchild
Static axially symmetric space-times
Rotating black holes
Taub-NUT space-time
Stationary, axially symmetric space-times
Accelerating black holes
Further solutions for uniformly accelerating particles
Pleba"ski-Demia"ski solutions
Plane and pp-waves
Kundt solutions
Robinson-Trautman solutions
Impulsive waves
Colliding plane waves
A final miscellany
2-spaces of constant curvature
3-spaces of constant curvature
Table of Contents provided by Publisher. All Rights Reserved.

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