paper

Chemical potential driven phase transition of black holes in AdS space

arXiv:1508.03780 · doi:10.1103/PhysRevD.92.104039

Abstract

Einstein-Maxwell theory conformally coupled to a scalar field in D dimensions may exhibit an instability at low temperature. We find an explicit solution that represents a charged asymptotically Anti-de Sitter black hole with a scalar field profile that is regular everywhere outside and on the horizon. This provides a tractable model to study the phase transition of hairy black holes in Anti-de Sitter space in which the backreaction on the geometry can be solved analytically.

5 pages, 1 figure. v2 comments on negative entropy configurations and instability, and references added

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