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  3. The Analysis of Space-Time Singularities
  • Cited by 13
Publisher:
Cambridge University Press
Online publication date:
August 2012
Print publication year:
1994
Online ISBN:
9780511608155
DOI:
https://doi.org/10.1017/CBO9780511608155
Subjects:
Physics and Astronomy, Cosmology, Relativity and Gravitation, Theoretical Physics and Mathematical Physics
Series:
Cambridge Lecture Notes in Physics (1)
Information

Book 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

‘...an elegant and useful account of our present state of understanding.’

William C. Saslaw Source: The Observatory

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