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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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
ORIGINAL | http://www.livingreviews.org/lrr-1998-6 |
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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. |