Rotating Einstein-Yang-Mills Black Holes

TL;DR

This paper constructs rotating black holes with non-Abelian gauge fields in Einstein-Yang-Mills theory, revealing new solutions with non-trivial gauge structures and electric charges outside the horizon.

Contribution

It introduces the first explicit construction of rotating Einstein-Yang-Mills black holes with non-Abelian hair and analyzes their properties and asymptotic behavior.

Findings

Black holes possess non-Abelian gauge fields outside the horizon.

They carry non-Abelian electric charge that increases with angular momentum.

Solutions exhibit non-integer power asymptotic expansions.

Abstract

We construct rotating hairy black holes in SU(2) Einstein-Yang-Mills theory. These stationary axially symmetric black holes are asymptotically flat. They possess non-trivial non-Abelian gauge fields outside their regular event horizon, and they carry non-Abelian electric charge. In the limit of vanishing angular momentum, they emerge from the neutral static spherically symmetric Einstein-Yang-Mills black holes, labelled by the node number of the gauge field function. With increasing angular momentum and mass, the non-Abelian electric charge of the solutions increases, but remains finite. The asymptotic expansion for these black hole solutions includes non-integer powers of the radial variable.