Rotating Hairy Black Holes

TL;DR

This paper constructs new rotating hairy black holes in SU(2) Einstein-Yang-Mills theory, featuring angular momentum, electric charge, and non-abelian magnetic fields outside the horizon, expanding the landscape of known black hole solutions.

Contribution

It introduces non-perturbative rotating hairy black hole solutions with non-abelian fields in Einstein-Yang-Mills theory, a novel class of solutions beyond traditional black holes.

Findings

Existence of stationary rotating black holes with non-abelian hair.

Presence of non-trivial magnetic fields outside the event horizon.

Black holes carry both angular momentum and electric charge.

Abstract

We construct stationary black holes in SU(2) Einstein-Yang-Mills theory, which carry angular momentum and electric charge. Possessing non-trivial non-abelian magnetic fields outside their regular event horizon, they represent non-perturbative rotating hairy black holes.