Thermodynamics of Third Order Lovelock-Born-Infeld Black Holes

TL;DR

This paper investigates the thermodynamics and stability of third order Lovelock-Born-Infeld black holes in 7-dimensional AdS space, highlighting the influence of the cosmological constant on their stable regions.

Contribution

It introduces a detailed analysis of black hole thermodynamics in third order Lovelock gravity coupled with nonlinear Born-Infeld fields, considering specific coefficient relations.

Findings

Cosmological constant significantly affects black hole stability regions.

Black holes exhibit different thermodynamic behaviors based on event horizon structures.

Stability analysis reveals conditions for stable black hole configurations.

Abstract

We here explore black holes in the third order Lovelock gravity coupling with nonlinear Born-Infeld electromagnetic field. Considering special second and third order coefficients ($\hat{\alpha}_2^2=3\hat{\alpha}_3=\alpha^2$), we analyze the thermodynamics of third order Lovelock-Born-Infeld black holes and, in 7-dimensional AdS space-time, discuss the stability of black holes in different event horizon structures. We find that the cosmological constant $\Lambda$ plays an important role in the distribution of stable regions of black holes.