The evolution of unstable black holes in anti-de Sitter space

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.

29 pages, latex, four figures. For problems printing the figures, see http://viper.princeton.edu/~ssgubser/tachyon/README . v2: minor additions, JHEP version

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• Instability of charged black holes in anti-de Sitter space
• Near Hagedorn Dynamics of NS Fivebranes, or A New Universality Class of Coiled Strings
• Hagedorn Behaviour of Little String Theory from String Corrections to NS5-Branes
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