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Introduction to Black Hole Physics$
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Valeri P. Frolov and Andrei Zelnikov

Print publication date: 2011

Print ISBN-13: 9780199692293

Published to Oxford Scholarship Online: January 2012

DOI: 10.1093/acprof:oso/9780199692293.001.0001

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Spherically Symmetric Black Holes

Spherically Symmetric Black Holes

Chapter:
(p.162) 6 Spherically Symmetric Black Holes
Source:
Introduction to Black Hole Physics
Author(s):

Valeri P. Frolov

Andrei Zelnikov

Publisher:
Oxford University Press
DOI:10.1093/acprof:oso/9780199692293.003.0006

To derive spherically symmetric solutions of the Einstein equations the dimensional reduction is used. The Birkhoff theorem is proved, which shows that any vacuum spherically symmetric solution possesses an additional symmetry and is in fact static. The Schwarzschild solution, its properties and the global structure are discussed. We make brief remarks on the properties of the black hole interior and higher dimensional generalization of the Schwarzschild black hole.

Keywords:   dimensional reduction, Schwarzschild metric, event horizon, higher dimensions

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