Chapter

Stationary Spacetimes and Black Holes

Yvonne Choquet-Bruhat

in General Relativity and the Einstein Equations

Published in print December 2008 | ISBN: 9780199230723
Published online May 2009 | e-ISBN: 9780191710872 | DOI: https://dx.doi.org/10.1093/acprof:oso/9780199230723.003.0014

Series: Oxford Mathematical Monographs

 Stationary Spacetimes and Black Holes

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This chapter presents the proofs of fundamental uniqueness theorems for complete stationary solutions of the vacuum, or electrovac, solutions of the Einstein equations. It studies the properties of the Kerr stationary black hole, of which the Schwarzschild black hole is a particular case. It surveys the history of the research on the uniqueness theorem for 3+1-dimensional stationary black holes which was pictured by J. A. Wheeler using the picturesque phrase ‘black holes have no hair’.

Keywords: spacetimes; Einstein equations; black holes; gravitational solitons; electrovac solitons; J. A. Wheeler

Chapter.  14163 words. 

Subjects: Applied Mathematics

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