eng
Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
Living Reviews in Relativity
1433-8351
2012-05-29
15
7
10.12942/lrr-2012-7
lrr-2012-7
article
Stationary Black Holes: Uniqueness and Beyond
Piotr T. Chruściel
1
João Lopes Costa
2
Markus Heusler
3
University of Vienna, Boltzmanngasse 5, A-1090 Vienna, Austria
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
ITP, University of Zurich, CH-8057 Zurich, Switzerland
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.
http://www.livingreviews.org/lrr-2012-7
uniqueness theorems
black holes
self-gravitating classical fields