Vol. 15 (2012) > lrr-2012-7

doi: 10.12942/lrr-2012-7
Living Rev. Relativity 15 (2012), 7

Stationary Black Holes: Uniqueness and Beyond

1 University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
2 Instituto Universitário de Lisboa (ISCTE-IUL), Lisboa, Portugal and Centro de Análise Matemática, Geometria e Sistemas Dinâmicos, Instituto Superior Técnico, Universidade Técnica de Lisboa, Portugal
3 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 been steadily increasing, sometimes in unexpected ways. 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 spacetimes ceases to exist in self-gravitating non-linear field theories. This text aims to review some developments in the subject and to discuss them in light of the uniqueness theorem for the Einstein-Maxwell system.

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

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Article Citation

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:

Piotr T. Chruściel and João Lopes Costa and Markus Heusler,
"Stationary Black Holes: Uniqueness and Beyond",
Living Rev. Relativity 15,  (2012),  7. URL (cited on <date>):
http://www.livingreviews.org/lrr-2012-7

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.
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