Black Holes with Yang-Mills Hair

TL;DR

This paper explores how Einstein-Yang-Mills theory allows for black holes with non-unique characteristics and Yang-Mills hair, contrasting with the uniqueness in Einstein-Maxwell theory, and reveals new static, axially symmetric solutions.

Contribution

It demonstrates the existence of static, axially symmetric Einstein-Yang-Mills black holes with Yang-Mills hair, extending the understanding of black hole solutions beyond Einstein-Maxwell theory.

Findings

Sequences of neutral and charged SU(N) Einstein-Yang-Mills black holes with hair.

Existence of static, axially symmetric SU(2) Einstein-Yang-Mills black holes.

Contrasts with spherical symmetry in Einstein-Maxwell black holes.

Abstract

In Einstein-Maxwell theory black holes are uniquely determined by their mass, their charge and their angular momentum. This is no longer true in Einstein-Yang-Mills theory. We discuss sequences of neutral and charged SU(N) Einstein-Yang-Mills black holes, which are static spherically symmetric and asymptotically flat, and which carry Yang-Mills hair. Furthermore, in Einstein-Maxwell theory static black holes are spherically symmetric. We demonstrate that, in contrast, SU(2) Einstein-Yang-Mills theory possesses a sequence of black holes, which are static and only axially symmetric.