Higher order curvature generalisations of Bartnick-McKinnon and coloured black hole solutions in $d=5$

TL;DR

This paper constructs new higher-dimensional black hole and regular solutions in a 5D Einstein-Yang-Mills model incorporating higher order curvature terms, extending previous models with Gauss-Bonnet corrections.

Contribution

It introduces a novel 5D Einstein-Yang-Mills framework with higher order curvature terms, producing new regular and black hole solutions.

Findings

Existence of globally regular solutions in 5D with higher order curvature terms.

Construction of non-abelian black hole solutions in the extended model.

Extension of known solutions to include higher order curvature corrections.

Abstract

We construct globally regular as well as non-abelian black hole solutions of a higher order curvature Einstein-Yang-Mills (EYM) model in $d=5$ dimensions. This model consists of the superposition of the first two members of the gravitational hierarchy (Einstein plus first Gauss-Bonnet(GB)) interacting with the superposition of the first two members of the $SO(d)$ Yang--Mills hierarchy.