Axially Symmetric Monopoles and Black Holes in Einstein-Yang-Mills-Higgs Theory

TL;DR

This paper explores axially symmetric monopole and black hole solutions in Einstein-Yang-Mills-Higgs theory, revealing new bound states and properties that challenge the traditional no-hair conjecture.

Contribution

It presents the first detailed analysis of axially symmetric monopoles and black holes with higher magnetic charge in this theory, including their gravitational binding and horizon characteristics.

Findings

Multimonopole solutions are gravitationally bound with lower mass per charge than single monopoles.

Large Higgs self-coupling leads to only a repulsive phase.

Black holes exhibit deformed horizons and are not uniquely characterized by horizon area and charge.

Abstract

We investigate static axially symmetric monopole and black hole solutions with magnetic charge n > 1 in Einstein-Yang-Mills-Higgs theory. For vanishing and small Higgs selfcoupling, multimonopole solutions are gravitationally bound. Their mass per unit charge is lower than the mass of the n=1 monopole. For large Higgs selfcoupling only a repulsive phase exists. The static axially symmetric hairy black hole solutions possess a deformed horizon with constant surface gravity. We consider their properties in the isolated horizon framework, interpreting them as bound states of monopoles and black holes. Representing counterexamples to the ``no-hair'' conjecture, these black holes are neither uniquely characterized by their horizon area and horizon charge.