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Stationary Black Holes: Uniqueness and Beyond

Author(s): Piotr T. Chruściel | João Lopes Costa | Markus Heusler

Journal: Living Reviews in Relativity
ISSN 1433-8351

Volume: 15;
Start page: 7;
Date: 2012;
Original page

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

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.
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