New non-Abelian black hole solutions in Born-Infeld gravity

TL;DR

This paper presents new higher-dimensional non-Abelian black hole solutions in Born-Infeld gravity, exploring how the Born-Infeld parameter influences their properties and supports regular black holes at the origin.

Contribution

It introduces novel black hole solutions in various Einstein-Yang-Mills-Born-Infeld gravities, analyzing their behavior across different Born-Infeld parameter limits.

Findings

Solutions reduce to pure gravity as β→0.

Solutions reduce to gravity coupled with Yang-Mills fields as β→∞.

Existence of regular black holes supported by Born-Infeld parameter.

Abstract

We introduce new black hole solutions to the Einstein-Yang-Mills-Born-Infeld (EYMBI), Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet (EYMBIGB) and Einstein-Yang-Mills-Born-Infeld-Gauss-Bonnet-Lovelock (EYMBIGBL) gravities in higher dimensions $N\geq 5$ to investigate the roles of Born-Infeld parameter $\beta $. It is shown that, these solutions in the limits of $\beta \to 0,$ and $\beta \to \infty ,$ represent pure gravity and gravity coupled with Yang-Mills fields, respectively. For $0<\beta <\infty $ it yields a variety of black holes, supporting even regular ones at $r=0$.