Black hole phase transitions via Bragg-Williams

Abstract

We argue that a convenient way to analyze instabilities of black holes in AdS space is via Bragg-Williams construction of a free energy function. Starting with a pedagogical review of this construction in condensed matter systems and also its implementation to Hawking-Page transition, we study instabilities associated with hairy black holes and also with the $R$-charged black holes. For the hairy black holes, an analysis of thermal quench is presented.

23 pages, 8 figures, a discussion on thermal quench and a new figure have been added, typos corrected

References in corpus (6)

• Building an AdS/CFT superconductor
• Breaking an Abelian gauge symmetry near a black hole horizon
• Topological black holes dressed with a conformally coupled scalar field and electric charge
• Dynamic critical phenomena in the AdS/CFT duality
• Metastability of R-Charged Black Holes
• A Note on Charged Black Holes in AdS space and the Dual Gauge Theories

Cited by in corpus (5)

• Topology of critical points and Hawking-Page transition
• Four-dimensional black holes with scalar hair in nonlinear electrodynamics
• A Comparative Note on Tunneling in AdS and in its Boundary Matrix Dual
• Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source
• Off-shell phase diagram of BPS black holes in AdS${}_5$