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arxiv: hep-th/0011127 · v2 · submitted 2000-11-14 · ✦ hep-th

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

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classification ✦ hep-th
keywords anti-deblackholessitterspacestabilityevolutionlack
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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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Cited by 2 Pith papers

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