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OverviewThe 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. Full Product DetailsAuthor: C. J. S. Clarke (University of Southampton)Publisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 1 ISBN: 9780511608155ISBN 10: 0511608152 Publication Date: 05 August 2012 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock  We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of Contents1. 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.Reviews'...an elegant and useful account of our present state of understanding.' William C. Saslaw, The Observatory Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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