The different phases of hairy black holes in AdS5 space

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.

7 pages, 4 figures

References in corpus (3)

• Building an AdS/CFT superconductor
• Charged C-metric with conformally coupled scalar field
• On the thermodynamics of hairy black holes

Cited by in corpus (6)

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• Generalized Pure Lovelock Gravity
• Plebanski-Demianski solutions in Quadratic gravity with conformally coupled scalar fields
• Magnetized topological black holes of dimensionally continued gravity
• On the thermodynamics of hairy black holes
• Agujeros Negros con Pelo y Dualidad AdS/CFT