Thermodynamic Stability of Warped AdS3 Black Holes

Abstract

We study the thermodynamic stability of warped black holes in three-dimensional topologically massive gravity. The spacelike stretched black hole is parametrized by its mass and angular momentum. We determine the local and global stability properties in the canonical and grand canonical ensembles. The presence of a Hawking-Page type transition is established, and the critical temperature is determined. The thermodynamic metric of Ruppeiner is computed, and the curvature is shown to diverge in the extremal limit. The consequences of these results for the classical stability properties of warped black holes are discussed within the context of the correlated stability conjecture.

arXiv comment10 pages

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• Baby de Sitter Black Holes and dS${}_3$/CFT${}_2$
• Quasinormal modes of a scalar perturbation coupling with Einstein's tensor in the warped $Ad{S}_3$ black hole spacetime
• Two critical phenomena in the exactly soluble quantized Schwarzschild black hole
• Hawking Radiation of Warped Anti de Sitter and Rotating Hairy Black Holes with Scalar Hair