Black Hole Thermodynamic Products in Einstein Gauss Bonnet Gravity

TL;DR

This paper investigates the thermodynamic properties of black holes in Einstein Gauss Bonnet gravity, focusing on horizon products, stability, phase transitions, and implications for black hole microstructure.

Contribution

It derives thermodynamic products for black hole horizons in Einstein Gauss Bonnet gravity and analyzes their stability and phase transitions.

Findings

Thermodynamic products of horizons are identified and characterized as global or local.

Black hole stability is analyzed through specific heat calculations, revealing stable and unstable phases.

Phase transitions related to charge and specific heat are observed, indicating complex thermodynamic behavior.

Abstract

We study the thermodynamic properties of black hole horizons in Einstein Gauss Bonnet gravity. We derive the thermodynamic products of characteristic parameters to mark which are global. We further interpret the stability of the black holes by computing the specific heat for both horizons. Stable and unstable phases of horizons are pointed out. The phase transitions with respect to the charge in nature of specific heat are also observed. All these calculation might be helpful to understand the microscopic nature of such black holes.