Thermodynamics of 4D dS/AdS Gauss-Bonnet black holes from consistent gravity theory in presence of cloud of strings

TL;DR

This paper explores the thermodynamics of four-dimensional Einstein-Gauss-Bonnet black holes within a consistent gravity framework, analyzing their behavior in de Sitter and anti-de Sitter spaces with a cloud of strings.

Contribution

It introduces a thermodynamic analysis of 4D EGB black holes using a consistent gravity model that breaks diffeomorphism invariance, incorporating cloud of strings effects.

Findings

Derived black hole solutions in 4D EGB gravity with string clouds.

Analyzed thermodynamic stability and phase transitions of these black holes.

Identified unique thermodynamic behaviors due to the string cloud influence.

Abstract

By looking at the Lovelock theorem one can infer that the gravity model given by \cite{GL} could not applicable for all type of 4D Einstein Gauss Bonnet (GB) curved spacetimes. Because in 4D space time the Gauss-Bonnet invariant is a total derivative, and hence it does not contribute to the gravitational dynamics. Hence, authors in the work \cite{AL} presented an alternative consistent EGB gravity model instead of \cite{GL} by applying break of diffeomorphism property. In this work we use it to produce a dS/AdS black hole metric and then investigate its thermodynamic behavior in presence of cloud of Numbo Goto strings.