Jerry B. Griffiths, Jirí Podolský, "Exact Space-Times in Einstein's General 
Relativity"
Cambridge University Press | 2009 | ISBN: 0521889278 | 544 pages | PDF | 8 MB

Einstein's theory of general relativity is a theory of gravity and, as in the 
earlier Newtonian theory, much can be learned about the character of 
gravitation and its effects by investigating particular idealized 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 
analyzed. The book is an invaluable resource both for graduate students and 
academic researchers working in gravitational physics.

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