Slowly Rotating Non-Abelian Black Holes

TL;DR

This paper demonstrates the existence of slowly rotating non-Abelian black holes with unique gauge field properties, revealing new insights into their charge and stability characteristics compared to static solutions.

Contribution

It introduces rotating generalizations of static SU(2) black holes, highlighting their asymptotic Abelian gauge fields and non-vanishing electric charge, which are novel findings.

Findings

Rotating non-Abelian black holes exist under linearization stability.

These black holes have an asymptotically Abelian gauge field with non-zero electric charge.

No globally regular slowly rotating excitations of Bartnik-McKinnon solutions are found.

Abstract

It is shown that the well-known non-Abelian static SU(2) black hole solutions have rotating generalizations, provided that the hypothesis of linearization stability is accepted. Surprisingly, this rotating branch has an asymptotically Abelian gauge field with an electric charge that cannot vanish, although the non-rotating limit is uncharged. We argue that this may be related to our second finding, namely that there are no globally regular slowly rotating excitations of the particle-like Bartnik-McKinnon solutions.