Phase transitions in Bergshoeff-Hohm-Townsend Massive Gravity

Abstract

We present the Hawking-Page phase diagrams in the Bergshoeff-Hohm-Townsend (BHT) massive gravity theory for different solutions, such as the phase transitions between vacuum ${\text{AdS}}_3$ and BTZ black hole, warped ${\text{AdS}}_3$ and warped BTZ black hole in grand canonical and in non-local/quadratic ensembles, Lifshitz black hole and the new hairy black hole solutions. We observe that except for the black holes in quadratic ensemble, for other cases in the non-chiral theory of BHT the phase diagrams are symmetric with respect to the direction of angular momentum, as we expected. We conclude that for presenting the phase diagrams of warped ${\text{AdS}}_3$ black holes, only the grand canonical ensemble should be used.

v4: 14 pages, 9 figures, published version

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• Entanglement wedge reconstruction and correlation measures in mixed states: modular flows versus quantum recovery channels
• Stability of Horizon in Warped AdS Black Hole via Particle Absorption
• On the Curvature Invariants of the Massive Banados-Teitelboim-Zanelli Black Holes and Their Holographic Pictures
• Chaos, Phase Transitions and Curvature Invariants of (rotating, warped, massive) BTZ Black Holes
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