Stationary Black Holes: Uniqueness and Beyond (original) (raw)

ADS

;

• Costa, João Lopes ;
• Heusler, Markus

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

10.48550/arXiv.1205.6112

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