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9783540663775

Spacetime

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  • ISBN13:

    9783540663775

  • ISBN10:

    3540663770

  • Format: Hardcover
  • Copyright: 1999-11-01
  • Publisher: Springer Verlag
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Supplemental Materials

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Summary

This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.

Table of Contents

Local theory of space and timep. 1
Analysis on manifoldsp. 43
Space and time from a global point of viewp. 147
Pseudo-Reimannian manifoldsp. 167
General relativityp. 251
Robertson-Walker cosmologyp. 283
Spherical symmetryp. 303
Causalityp. 353
Singularity theoremsp. 379
Referencesp. 421
Indexp. 425
Table of Contents provided by Blackwell. All Rights Reserved.

Supplemental Materials

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