Black hole phase transitions via Bragg-Williams

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

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.

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