
The Analysis of Space-Time Singularities
C. J. S. Clarke(Author)
Cambridge University Press
Published on 12. May 1994
Book
Paperback/Softback
192 pages
978-0-521-43796-7 (ISBN)
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.
Reviews / Votes
'...an elegant and useful account of our present state of understanding.' William C. Saslaw, The ObservatoryMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
22 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 11 mm
Weight
287 gr
ISBN-13
978-0-521-43796-7 (9780521437967)
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Schweitzer Classification
Person
Content
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.