Einstein's General Theory of Relativity leads to two remarkable predictions: first, that the ultimate destiny of many massive stars is to undergo gravitational collapse and to disappear from view, leaving behind a 'black hole' in space and secondly, that there will exist singularities in spacetime itself. These singularities are places where spacetime begins or ends, and the presently known laws of physics break down. They will occur inside black holes, and in the past are what might be construed as the beginning of the universe. To show how these predictions arise, the authors discuss the General Theory of Relativity in the large. Starting with a precise formulation of the theory and an account of the necessary background of differential geometry, the significance of spacetime curvature is discussed and the global properties of a number of exact solutions of Einstein's field equations are examined. The theory of the causal structure of a general spacetime is developed, and is used to study black holes and to prove a number of theorems establishing the inevitability of singualarities under certain conditions. These conditions are shown to be satisfied in the vicinity of stars of more than twice the solar mass near the endpoint of their nuclear evolution, and in a timereversed sense for the universe as a whole. In the first case, the singularity in our past. A discussion of the Cauchy problem for General Relativity is also included in the book.
About Stephen Hawking
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Author  :  Stephen Hawking 
Publisher  :  Cambridge University Press 
Data Published  :  27 February 1975 
ISBN  :  0521099064 
EAN  :  9780521099066 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  400 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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