Thermodynamic Stability of Warped AdS3 Black Holes

TL;DR

This paper investigates the thermodynamic stability of warped AdS3 black holes in topologically massive gravity, identifying phase transitions, stability conditions, and geometric properties of their thermodynamic state space.

Contribution

It provides a detailed analysis of the stability and phase structure of warped AdS3 black holes, including the computation of the Ruppeiner metric and its implications.

Findings

Existence of a Hawking-Page type transition at a critical temperature.

Divergence of Ruppeiner curvature in the extremal limit.

Stability properties consistent with the correlated stability conjecture.

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.