Includes bibliographical references (pages 171-173) and index.
CONTENTS NOTE
Text of Note
1. Introduction -- 2. The Riemann tensor -- 3. Boundary constructions -- 4. Existence theory and differentiability -- 5. The analytic extension problem -- 6. Attributes of singularities -- 7. Extension theorems -- 8. Singularity strengths and censorship.
0
SUMMARY OR ABSTRACT
Text of Note
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.
OTHER EDITION IN ANOTHER MEDIUM
Title
Analysis of space-time singularities.
International Standard Book Number
9780521437967
TOPICAL NAME USED AS SUBJECT
Mathematical physics.
Singularities (Mathematics)
Space and time-- Mathematical models.
Applied Physics.
Engineering & Applied Sciences.
Espace-temps.
Mathematical physics.
Raum-Zeit
Raum-Zeit-System
Singularität
Singularities (Mathematics)
Space and time-- Mathematical models.
DEWEY DECIMAL CLASSIFICATION
Number
530
.
1/1
Edition
20
LIBRARY OF CONGRESS CLASSIFICATION
Class number
QC20
.
7
.
S54
Book number
C53
1993
OTHER CLASS NUMBERS
Class number
MAT
359f
Class number
PHY
040f
Class number
PHY
042f
Class number
PR
20
Class number
UB
7500
Class number
UH
8300
System Code
stub
System Code
stub
System Code
stub
System Code
blsrissc
System Code
rvk
System Code
rvk
PERSONAL NAME - PRIMARY RESPONSIBILITY
Clarke, C. J. S., (Christopher James Seaton),1946-2019.