Non-Abelian black holes in conformal gravity

TL;DR

This paper introduces the first known black hole solutions within SU(N) conformal gravity, including static, non-spherically symmetric cases, and presents novel C-metric solutions sourced by Yang-Mills fields.

Contribution

It provides the first explicit black hole solutions of SU(N) Bach-Yang-Mills equations and constructs static, non-spherical generalizations, including C-metrics with Yang-Mills sources.

Findings

First black hole solutions of SU(N) Bach-Yang-Mills equations

Construction of static, non-spherical solutions

Introduction of Yang-Mills sourced C-metrics

Abstract

The first black hole solutions of the SU(N) Bach-Yang-Mills equations are presented. Static generalizations breaking spherical symmetry are also constructed. These constitute the first examples in the literature of C-metrics sourced by a Yang-Mills field.