Einstein-Yang-Mills black hole solutions in three dimensions

TL;DR

This paper introduces a method to generate Euclidean black hole solutions in 3D Einstein-Yang-Mills theory by reformulating Yang-Mills as gravity, enabling the derivation of new coupled solutions.

Contribution

It presents a novel procedure to obtain Einstein-Yang-Mills solutions from Einstein solutions through a reformulation of Yang-Mills theory as gravity.

Findings

Derived new 3D Einstein-Yang-Mills black hole solutions

Established a method linking Einstein and Einstein-Yang-Mills solutions

Demonstrated the applicability of the reformulation approach

Abstract

In this paper, a procedure which gives euclidean solutions of 3-dimensional Einstein-Yang-Mills equations when one has solutions of the Einstein equations is proposed. The method is based on reformulating Yang-Mills theory in such a way that it becomes a gravity. It is applied to find black hole solutions of the coupled Einstein-Yang-Mills equations.