Higher dimensional Yang-Mills black holes in third order Lovelock gravity

TL;DR

This paper derives new higher-dimensional magnetically charged black hole solutions in Einstein-Yang-Mills-Lovelock theory, showing how second and third order parameters influence horizons and thermodynamics, and induce effective cosmological constant effects.

Contribution

It introduces novel black hole solutions in higher dimensions with third order Lovelock terms, expanding understanding of their thermodynamics and asymptotic behavior.

Findings

Parameters modify black hole horizons and thermodynamics.

Effective cosmological constant arises without an explicit cosmological term.

Solutions exhibit de-Sitter or Anti de-Sitter like behavior asymptotically.

Abstract

By employing the higher (N\TEXTsymbol{>}5) dimensional version of the Wu-Yang Ansatz we obtain magnetically charged new black hole solutions in the Einstein-Yang-Mills-Lovelock (EYML) theory with second ($\alpha_{2}$) and third ($\alpha_{3}$)order parameters. These parameters, where $\alpha_{2}$ is also known as the Gauss-Bonnet parameter, modify the horizons (and the resulting thermodynamical properties) of the black holes. It is shown also that asymptotically ($r\to \infty $), these parameters contribute to an effective cosmological constant -without cosmological constant- so that the solution behaves de-Sitter (Anti de-Sitter) like.