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

TL;DR

This paper explores the thermodynamic geometry and phase behavior of charged black holes in AdS space and in a cavity, revealing similarities and key differences that suggest boundary conditions influence black hole microstates.

Contribution

It provides a comparative analysis of thermodynamic geometry and phase structure for black holes in two different boundary conditions, highlighting their impact on microscopic interpretations.

Findings

Similar phase structures in both cases.

Distinct thermodynamic geometric properties.

Boundary conditions may affect black hole microstates.

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.