Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity

Abstract

The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes. We investigate the phase structure, thermodynamic geometry and critical behavior of a Reissner-Nordstrom-AdS black hole and a Reissner-Nordstrom black hole in a cavity, which can reach equilibrium in a canonical ensemble. Although the phase structure and critical behavior of both cases show striking resemblance, we find that there exist significant differences between the thermodynamic geometry of these two cases. Our results imply that there may be a connection between the black hole microstates and its boundary condition.

v1: 28 pages,9 figures; v2: 29 pages. Comments and references added

References in corpus (12)

• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Microstates of a Neutral Black Hole in M Theory
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Thermodynamical Metrics and Black Hole Phase Transitions
• Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry
• Charged Black Hole in a Canonical Ensemble
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Thermogeometric phase transition in a unified framework
• Phase transitions and critical behavior of black branes in canonical ensemble
• A general framework to study the extremal phase transition of black holes
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence

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