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General Relativity and the Einstein Equations$
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Yvonne Choquet-Bruhat

Print publication date: 2008

Print ISBN-13: 9780199230723

Published to Oxford Scholarship Online: May 2009

DOI: 10.1093/acprof:oso/9780199230723.001.0001

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Stationary Spacetimes and Black Holes

Stationary Spacetimes and Black Holes

(p.451) XIV Stationary Spacetimes and Black Holes
General Relativity and the Einstein Equations

Yvonne Choquet-Bruhat

Oxford University Press

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

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