Rotating solitons and non-rotating, non-static black holes

TL;DR

This paper explores new stationary solutions of non-Abelian black holes and solitons, revealing rotating and charged configurations that extend previous static models, with implications for black hole uniqueness and particle-like solutions.

Contribution

It introduces stationary, rotating non-Abelian black hole solutions with electric charge and shows that particle-like solutions can have slowly rotating excitations, expanding the understanding of non-Abelian field configurations.

Findings

Existence of stationary non-Abelian black holes with angular momentum and electric charge.

Particle-like solutions can have slowly rotating, charged excitations.

Non-rotating limits of these solutions are neutral, consistent with staticity theorems.

Abstract

It is shown that the non-Abelian black hole solutions have stationary generalizations which are parameterized by their angular momentum and electric Yang-Mills charge. In particular, there exists a non-static class of stationary black holes with vanishing angular momentum. It is also argued that the particle-like Bartnik-McKinnon solutions admit slowly rotating, globally regular excitations. In agreement with the non-Abelian version of the staticity theorem, these non-static soliton excitations carry electric charge, although their non-rotating limit is neutral.