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The large scale structure of space-time / S.W. Hawking and G.F.R. Ellis

Author
Hawking, Stephen, 1942-2018
Published
Cambridge [England] ; New York : Cambridge University Press, 1973.
Physical Description
1 online resource (xi, 391 pages) : illustrations
Additional Creators
Ellis, George F. R. (George Francis Rayner)
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Series
Language Note
English.
Contents
The role of gravity -- Differential geometry -- General relativity -- The physical significance of curvature -- Exact solutions -- Causal structure -- The Cauchy problem in general relativity -- Space-time singularities -- Gravitational collapse and black holes -- The initial singularity in the universe.
Summary
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. A discussion of the Cauchy problem for General Relativity is also included in this 1973 book.
Report Numbers
72093671
Subject(s)
ISBN
9781139811699 (electronic bk.)
113981169X (electronic bk.)
9780511524646 (e-book)
0511524641 (e-book)
1139635638
9781139635639
1107188792
9781107188792
1139811223
9781139811224
1139811444
9781139811446
0511935145
9780511935145
1283870762
9781283870764
1139811568
9781139811569
0521200164
9780521200165
0521099064
9780521099066
Digital File Characteristics
data file
Bibliography Note
Includes bibliographical references (pages 373-380) and index.
View MARC record | catkey: 43623298