Clouds of strings in third-order Lovelock gravity

TL;DR

This paper derives exact higher-dimensional black hole solutions in Lovelock gravity with string cloud backgrounds, analyzing their thermodynamics and stability, revealing how Gauss-Bonnet terms and string clouds influence black hole properties.

Contribution

It provides new exact solutions for third-order Lovelock black holes in string cloud backgrounds and studies their thermodynamic behavior and stability.

Findings

Gauss-Bonnet term alters black hole thermodynamics

String cloud background does not affect entropy

Thermodynamic stability depends on higher-order Lovelock terms

Abstract

Lovelock theory is a natural extension of the Einstein theory of general relativity to higher dimensions in which the first and second orders correspond, respectively, to general relativity and Einstein-Gauss-Bonnet gravity. We present exact black hole solutions of $D\geq 4$-dimensional spacetime for first-, second-, and third-order Lovelock gravities in a string cloud background. Further, we compute the mass, temperature, and entropy of black hole solutions for the higher-dimensional general relativity and Einstein-Gauss-Bonnet theories and also perform thermodynamic stability of black holes. It turns out that the presence of the Gauss-Bonnet term 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. We rediscover several known spherically symmetric black hole solutions in the appropriate limits.