Lovelock black hole thermodynamics in a string cloud model

TL;DR

This paper investigates the thermodynamics of Lovelock black holes in higher-dimensional spacetimes with a string cloud background, revealing how Lovelock terms and string clouds influence black hole properties and phase transitions.

Contribution

It introduces a comprehensive analysis of Lovelock black holes in a string cloud model, highlighting the effects on thermodynamics and phase structure in arbitrary dimensions.

Findings

Lovelock terms and string clouds significantly alter black hole thermodynamics.

The entropy remains unaffected by the string cloud but is corrected by Lovelock gravity.

A Hawking-Page phase transition is possible in this model.

Abstract

The Lovelock theory is an extension of general relativity to higher dimensions. We study the Lovelock black hole for a string cloud model in arbitrary dimensional spacetime, and in turn also analyze its thermodynamical properties. Indeed, we compute the mass, temperature and entropy of the black hole and also perform a thermodynamical stability analysis. The phase structure suggests that the Hawking-Page phase transition is achievable. It turns out that the presence of the Lovelock terms and/or background string cloud completely changes the black hole thermodynamics. Interestingly, the entropy of a black hole is unaffected due to a background string cloud, but has a correction term due to Lovelock gravity.