Charged AdS black holes with higher derivative corrections in presence of string cloud

TL;DR

This paper explores charged AdS black holes with higher derivative corrections in Einstein Gauss-Bonnet gravity amid a string cloud, analyzing their thermodynamics and implications for dual gauge theories in condensed matter physics.

Contribution

It introduces new charged AdS black hole solutions with higher derivative corrections and string cloud effects, analyzing their thermodynamics and dual gauge theory implications.

Findings

Existence of three black holes for small chemical potential

Black holes merge into a single one at large chemical potential

Medium-sized black hole is thermodynamically unstable

Abstract

We have obtained charged asymptotically AdS black hole solutions in Einstein Gauss Bonnet gravity in presence of string cloud. It turns out that there exist three black holes in certain range of parameters for small enough chemical potential. However, for large chemical potential, these black holes merge into a single one. The free energy of the black holes is computed from the on shell Euclidean action by subtracting the contribution of an extremal black hole. We have studied the free energy and specific heat of the solutions, which shows that the medium sized black hole is unstable. As an application, we have studied the quark-antiquark potential in the dual gauge theory. This study provides necessary ingredients for study of the dual theories in the context of condensed matter systems.