Lovelock black holes in a string cloud background

TL;DR

This paper derives an exact static black hole solution in third order Lovelock gravity with a string cloud background in seven dimensions, analyzing its thermodynamics and stability.

Contribution

It provides a new exact black hole solution in Lovelock gravity with a string cloud, exploring how the background influences thermodynamic properties and stability.

Findings

String cloud affects horizon structure and stability.

Entropy remains unaffected by the string cloud.

Thermodynamic stability is influenced by the string cloud background.

Abstract

We present an exact static, spherically symmetric black hole solution to the third order Lovelock gravity with a string cloud background in seven dimensions for the special case when the second and third order Lovelock coefficients are related via $\tilde{\alpha}^2_2=3\tilde{\alpha}_3\;(\equiv\alpha^2)$. Further, we examine thermodynamic properties of this black hole to obtain exact expressions for mass, temperature, entropy and also perform the thermodynamic stability analysis. We see that a string cloud background makes a profound influence on horizon structure, thermodynamic properties and the stability of black holes. Interestingly the entropy of the black hole is unaffected due to a string cloud background. However, the critical solution for thermodynamic stability is being affected by a string cloud background.