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The Analysis of Space-Time Singularities : Cambridge Lecture Notes in Physics - C.J.S. Clarke

The Analysis of Space-Time Singularities

Cambridge Lecture Notes in Physics

By: C.J.S. Clarke, Peter Goddard (Editor), Julia Yeomans (Editor)

Paperback

Published: 11th July 1994
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The theorems of Hawking and Penrose show that space-times are likely to contain incomplete geodesics. Such geodesics are said to end at a singularity if it is impossible to continue the space-time and geodesic without violating the usual topological and smoothness conditions on the space-time. In this book the different possible singularities are defined, and the mathematical methods needed to extend the space-time are described in detail. The results obtained (many appearing here for the first time) show that singularities are associated with a lack of smoothness in the Riemann tensor. While the Friedmann singularity is analysed as an example, the emphasis is on general theorems and techniques rather than on the classification of particular exact solutions.

'...an elegant and useful account of our present state of understanding.' William C. Saslaw, The Observatory

Introductory
The Riemann tensor
Boundary constructions
Existence theory and differentiability
The analytic extension problem
Attributes of singularities
Extension theories
Table of Contents provided by Publisher. All Rights Reserved.

ISBN: 9780521437967
ISBN-10: 0521437962
Series: Cambridge Lecture Notes in Physics
Audience: Professional
Format: Paperback
Language: English
Number Of Pages: 192
Published: 11th July 1994
Publisher: CAMBRIDGE UNIV PR
Country of Publication: GB
Dimensions (cm): 22.76 x 15.39  x 1.17
Weight (kg): 0.28