Thermodynamics of static black objects in D dimensional Einstein-Gauss-Bonnet gravity with D-4 compact dimensions

TL;DR

This paper explores the thermodynamics of various static black objects in higher-dimensional Einstein-Gauss-Bonnet gravity with compactified dimensions, revealing a critical mass influencing their stability and phase structure.

Contribution

It introduces the thermodynamic analysis of black holes and branes in D-dimensional Einstein-Gauss-Bonnet gravity with compact dimensions, highlighting a critical mass for stability.

Findings

Existence of a critical mass depending on compactification scale.

Black hole entropy surpasses black membrane entropy below this critical mass.

Phase diagrams illustrating stability regions of black objects.

Abstract

We investigate the thermodynamics of static black objects such as black holes, black strings and their generalizations to D dimensions (`black branes') in a gravitational theory containing the four dimensional Gauss-Bonnet term in the action, when D-4 of the dimensions are compactified on a torus. The entropies of black holes and black branes are compared to obtain information on the stability of these objects and to find their phase diagrams. We demonstrate the existence of a critical mass, which depends on the scale of the compactified dimensions, below which the black hole entropy dominates over the entropy of the black membrane.