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  3. The Analysis of Space-Time Singularities
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  • Publisher:
    Cambridge University Press
    Publication date:
    05 August 2012
    12 May 1994
    ISBN:
    9780511608155
    9780521437967
    DOI:
    https://doi.org/10.1017/CBO9780511608155
    Dimensions:
    Weight & Pages:
    Dimensions:
    (228 x 152 mm)
    Weight & Pages:
    0.33kg, 192 Pages
    • Subjects:
    Physics and Astronomy, Cosmology, Relativity and Gravitation, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Lecture Notes in Physics (1)
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    Subjects:
    Physics and Astronomy, Cosmology, Relativity and Gravitation, Theoretical Physics and Mathematical Physics
    Series:
    Cambridge Lecture Notes in Physics (1)
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    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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