Chemical potential driven phase transition of black holes in AdS space
Mario Galante, Gaston Giribet, Andres Goya, Julio Oliva
TL;DR
This paper presents an analytical model of a charged AdS black hole with scalar hair, revealing a phase transition driven by chemical potential, and providing insights into black hole stability and scalar field effects in AdS space.
Contribution
It introduces an explicit, regular scalar-haired black hole solution in Einstein-Maxwell theory in AdS space, enabling analytical study of phase transitions with backreaction.
Findings
Explicit scalar-haired black hole solution in AdS
Analytical description of phase transition driven by chemical potential
Insights into stability and scalar field effects in AdS black holes
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.
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