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

Steven S. Gubser·Indrajit Mitra
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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.

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Steven S. Gubser, Indrajit Mitra. 2001-09-18. The evolution of unstable black holes in anti-de Sitter space. https://doi.org/10.1088/1126-6708%2F2001%2F08%2F018

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