The Analysis of Space-Time Singularities

C. J. S. Clarke (Autor)

Buch | Softcover

192 Seiten

1994
Cambridge University Press (Verlag)
978-0-521-43796-7 (ISBN)

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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.

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.

Erscheint lt. Verlag	12.5.1994
Reihe/Serie	Cambridge Lecture Notes in Physics
Zusatzinfo	22 Line drawings, unspecified
Verlagsort	Cambridge
Sprache	englisch
Maße	154 x 230 mm
Gewicht	330 g
Themenwelt	Naturwissenschaften ► Physik / Astronomie ► Relativitätstheorie
ISBN-10	0-521-43796-2 / 0521437962
ISBN-13	978-0-521-43796-7 / 9780521437967
Zustand	Neuware