Stationary Black Holes: Uniqueness and Beyond

doi:doi:10.12942/lrr-1998-6

url: http://www.livingreviews.org/lrr-1998-6

doi: 10.12942/lrr-1998-6

Living Rev. Relativity 1 (1998), 6

Stationary Black Holes: Uniqueness and Beyond

Markus Heusler

Affiliation(s)

¹ ITP, University of Zurich, CH-8057 Zurich, Switzerland

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Article Abstract

The spectrum of known black hole solutions to the stationary Einstein equations has increased in an unexpected way during the last decade. In particular, it has turned out that not all black hole equilibrium configurations are characterized by their mass, angular momentum and global charges. Moreover, the high degree of symmetry displayed by vacuum and electro-vacuum black hole space-times ceases to exist in self-gravitating non-linear field theories. This text aims to review some of the recent developments and to discuss them in the light of the uniqueness theorem for the Einstein-Maxwell system.

Keywords: uniqueness theorems, self-gravitating classical fields, black holes

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Since a Living Reviews in Relativity article may evolve over time, please cite the access <date>, which uniquely identifies the version of the article you are referring to:

Markus Heusler,
"Stationary Black Holes: Uniqueness and Beyond",
Living Rev. Relativity 1, (1998), 6. URL (cited on <date>):
http://www.livingreviews.org/lrr-1998-6

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Article History

ORIGINAL	http://www.livingreviews.org/lrr-1998-6
Title	Stationary Black Holes: Uniqueness and Beyond
Author	Markus Heusler
Date	accepted 15 April 1998, published 8 May 1998
UPDATE	http://www.livingreviews.org/lrr-2012-7
Title	Stationary Black Holes: Uniqueness and Beyond
Author	Piotr T. Chruściel / João Lopes Costa / Markus Heusler
Date	accepted 29 March 2012, published 29 May 2012
Changes	Major update of the original version by Markus Heusler from 1998. Piotr T. Chruściel and João Lopes Costa succeeded to this review's authorship. Significantly restructured and updated all sections; changes are too numerous to be usefully described here. The number of references increased from 186 to 329.