Phase Transition of Electrically Charged Ricci-flat Black Holes

Abstract

We study phase transition between electrically charged Ricci-flat black holes and AdS soliton spacetime of Horowitz and Myers in five dimensions. Boundary topology for both of them is $S^1\times S^1\times R^2$. We consider Reissner-Nordstrom black hole and R-charged black holes and find that phase transition of these black holes to AdS soliton spacetime depends on the relative size of two boundary circles. We also perform the stability analysis for these black holes. In order to use the AdS/CFT correspondence, we work in the grand canonical ensemble.

33 pages, 9 figures, Version 2, References added

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• Deconfinement Transition of AdS/QCD at $\mathcal{O}({\alpha }^{\prime 3})$
• Thermodynamics and Stability of Flat Anti-de Sitter Black Strings
• Exact flavored black $p$-branes and self-gravitating instantons from toroidal black holes with Skyrme hair
• Phase transition in black holes