Stationary Black Holes: Uniqueness and Beyond
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.
- Publication:
-
Living Reviews in Relativity
- Pub Date:
- December 2012
- DOI:
- 10.12942/lrr-2012-7
- arXiv:
- arXiv:1205.6112
- Bibcode:
- 2012LRR....15....7C
- Keywords:
-
- uniqueness theorems;
- self-gravitating classical fields;
- black holes;
- Black Hole;
- Event Horizon;
- Killing Vector;
- Black Ring;
- Killing Vector Field;
- General Relativity and Quantum Cosmology
- E-Print:
- Major update of the original version by Markus Heusler from 1998. Piotr T. Chru\'sciel and Jo\~ao Lopes Costa succeeded to this review's authorship. Significantly restructured and updated all sections