Gravitationally bound monopoles

TL;DR

This paper constructs and analyzes gravitationally bound monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, revealing conditions under which multimonopoles are stable and energetically favorable.

Contribution

It introduces explicit multimonopole solutions in Einstein-Yang-Mills-Higgs theory and studies their stability and energy properties depending on Higgs self-coupling.

Findings

Multimonopoles are gravitationally bound at low Higgs self-coupling.

Mass per unit charge is lower than single monopole for small coupling.

Large Higgs self-coupling leads to only repulsive interactions.

Abstract

We construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory, carrying magnetic charge n. For vanishing and small Higgs selfcoupling, these 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.