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Stephen Hawking The Large Scale Structure of Space-Time

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 							Author: Stephen Hawking
  Series: Cambridge Monographs on Mathematical Physics
 
Paperback: 404 pages
  Publisher: Cambridge University Press (March 28, 1975)
  Language:
English
  ISBN-10: 0521099064
  ISBN-13: 978-0521099066
  
  
  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
space-time itself. These singularities are places where space-time 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 space-time 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 space-time 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 time-reversed 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. 						

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