The evolution of unstable black holes in anti-de Sitter space
High Energy Physics - Theory
2009-10-31 v2
Abstract
We examine the thermodynamic stability of large black holes in four-dimensional anti-de Sitter space, and we demonstrate numerically that black holes which lack local thermodynamic stability often also lack stability against small perturbations. This shows that no-hair theorems do not apply in anti-de Sitter space. A heuristic argument, based on thermodynamics only, suggests that if there are any violations of Cosmic Censorship in the evolution of unstable black holes in anti-de Sitter space, they are beyond the reach of a perturbative analysis.
Keywords
Cite
@article{arxiv.hep-th/0011127,
title = {The evolution of unstable black holes in anti-de Sitter space},
author = {Steven S. Gubser and Indrajit Mitra},
journal= {arXiv preprint arXiv:hep-th/0011127},
year = {2009}
}
Comments
29 pages, latex, four figures. For problems printing the figures, see http://viper.princeton.edu/~ssgubser/tachyon/README . v2: minor additions, JHEP version