Thermodynamic Geometry and Phase Transitions of AdS Braneworld Black Holes

TL;DR

This paper explores the thermodynamic properties, phase transitions, and stability of charged and rotating AdS black holes in a Randall-Sundrum braneworld using thermodynamic geometry, revealing how braneworld parameters influence phase structures.

Contribution

It introduces a detailed thermodynamic geometric analysis of AdS braneworld black holes, highlighting the impact of braneworld parameters on phase transitions and stability.

Findings

Thermodynamic curvature varies with thermodynamic variables.

Phase structures depend on braneworld parameters.

Stability analysis in different ensembles shows distinct behaviors.

Abstract

The thermodynamics and phase transitions of charged RN-AdS and rotating Kerr-AdS black holes in a generalized Randall-Sundrum braneworld are investigated in the framework of thermodynamic geometry. A detailed analysis of the thermodynamics, stability and phase structures in the canonical and the grand canonical ensembles for these AdS braneworld black holes are described. The thermodynamic curvatures for both these AdS braneworld black holes are computed and studied as a function of the thermodynamic variables. Through this analysis we illustrate an interesting dependence of the phase structures on the braneworld parameter for these black holes.