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BL
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| Record Number
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878564
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| Main Entry
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Clarke, C. J. S., (Christopher James Seaton),1946-2019.
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| Title & Author
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The analysis of space-time singularities /\ C.J.S. Clarke.
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| Publication Statement
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Cambridge :: Cambridge University Press,, 1993.
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| Series Statement
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Cambridge lecture notes in physics ;; 1
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| Page. NO
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1 online resource (xiv, 175 pages)
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| ISBN
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0511608152
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: 9780511608155
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0521437962
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9780521437967
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| Bibliographies/Indexes
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Includes bibliographical references (pages 171-173) and index.
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| Contents
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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.
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| Abstract
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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.
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| Subject
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Mathematical physics.
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| Subject
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Singularities (Mathematics)
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Space and time-- Mathematical models.
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Applied Physics.
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Engineering Applied Sciences.
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Espace-temps.
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Mathematical physics.
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| Subject
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Raum-Zeit
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Raum-Zeit-System
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Singularität
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Singularities (Mathematics)
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| Subject
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Space and time-- Mathematical models.
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| Dewey Classification
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530.1/1
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| LC Classification
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QC20.7.S54C53 1993
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| NLM classification
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MAT 359fstub
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PHY 040fstub
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PHY 042fstub
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PR 20blsrissc
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UB 7500rvk
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UH 8300rvk
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