The Analysis of Space-Time Singularities
Part of Cambridge Lecture Notes in Physics
- Author: C. J. S. Clarke, University of Southampton
- Date Published: June 1994
- availability: Available
- format: Paperback
- isbn: 9780521437967
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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.
Read more- Written by an expert in theoretical analysis
- Topical subject of interest to mathematicians and physicists
- Includes new results, published here for the first time
Reviews & endorsements
"...will surely be extremely useful to researchers already working on cosmic censorship. or contemplating entering the field, and of great interest to classical relativists who are interested in finding out more about it." Robert J. Low, Mathematical Reviews
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×Product details
- Date Published: June 1994
- format: Paperback
- isbn: 9780521437967
- length: 192 pages
- dimensions: 230 x 154 x 15 mm
- weight: 0.33kg
- contains: 22 b/w illus.
- availability: Available
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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