The Analysis of Space-Time Singularities
Series: Cambridge Lecture Notes in Physics; 1;
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Product details:
- Publisher Cambridge University Press
- Date of Publication 12 May 1994
- ISBN 9780521437967
- Binding Paperback
- No. of pages192 pages
- Size 230x154x15 mm
- Weight 330 g
- Language English
- Illustrations 22 b/w illus. 0
Categories
Short description:
In this book the different possible singularities are defined, and the mathematical methods needed to extend the space-time are described in detail.
MoreLong description:
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
Table of Contents:
1. Introductory; 2. The Riemann tensor; 3. Boundary constructions; 4. Existence theory and differentiability; 5. The analytic extension problem; 6. Attributes of singularities; 7. Extension theories.
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