Non-Abelian Black Holes with Magnetic Dipole Hair

TL;DR

This paper constructs static, axially symmetric black holes with magnetic dipole hair in SU(2) Einstein-Yang-Mills-Higgs theory, revealing new solutions with specific mass properties.

Contribution

It introduces a novel class of black hole solutions with magnetic dipole hair in a non-Abelian gauge theory, expanding the understanding of black hole hair.

Findings

Black holes possess magnetic dipole hair.

Mass difference matches monopole-antimonopole solution.

Supports isolated horizon framework predictions.

Abstract

We construct static axially symmetric black holes in SU(2) Einstein-Yang-Mills-Higgs theory. Located in between a monopole-antimonopole pair, these black holes possess magnetic dipole hair. The difference of their mass and their horizon mass equals the mass of the regular monopole-antimonopole solution, as expected from the isolated horizon framework.