Reentrant phase transitions in Einstein-Maxwell-scalar black holes

Abstract

We consider how scalar fields affect the thermodynamic behavior of charged anti-de Sitter (AdS) black holes. We specifically investigate a class of (3+1)-dimensional exact hairy charged AdS black hole solutions to Einstein-Maxwell-scalar gravity, whose stable ground state and finite horizon area in the zero temperature limit make it of particular interest. We find that the reverse isoperimetric inequality is satisfied for this class and that there exists an intermediate range of the charge that admits reentrant phase behavior, the first example of this type of phase behavior in (3+1) dimensions in a consistent theory.

6 pages, 5 figures, v2, this version matches the published one

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• Topology of Born-Infeld-AdS Black Hole Phase Transitions: Bulk and CFT Sides
• Thermodynamic schemes of charged BTZ-like black holes in arbitrary dimensions
• Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity