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arXiv · 1501.00184

The different phases of hairy black holes in AdS5 space

Gaston Giribet·Andres Goya·Julio Oliva
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Abstract

We investigate the thermodynamics of hairy black holes in asymptotically Anti-de Sitter (AdS) space, including backreaction. Resorting to the Euclidean path integral approach, we show that matter conformally coupled to Einstein gravity in five dimensions may exhibit a phase transition whose endpoint turns out to be a hairy black hole in AdS5 space. The scalar field configuration happens to be regular everywhere outside and on the horizon, and behaves asymptotically in such a way that respects the AdS boundary conditions that are relevant for AdS/CFT. The theory presents other peculiar features in the ultraviolet, like the existence of black holes with arbitrarily low temperature in AdS5. This provides a simple setup in which the fully backreacting problem of a hair forming in AdS at certain critical temperature can be solved analytically.

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Gaston Giribet, Andres Goya, Julio Oliva. 2014-12-31. The different phases of hairy black holes in AdS5 space. https://doi.org/10.1103/physrevd.91.045031

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