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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1126-6708/2001/08/018

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.

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