Non-Abelian Monopoles Coupled to Gravity

TL;DR

This paper extends the Majumdar-Papapetrou solution to include non-Abelian monopoles within the Einstein-Yang-Mills-Higgs framework, revealing new gravitational configurations governed by Bogomol'nyi-like equations.

Contribution

It introduces a novel gravitational solution for non-Abelian monopoles, generalizing known static configurations in Einstein-Maxwell theory.

Findings

Derived a new class of solutions for non-Abelian monopoles coupled to gravity.

Established the governing equations analogous to Bogomol'nyi equations.

Provided insights into the structure of monopole-gravity interactions.

Abstract

A static configuration of point charges held together by the gravitational attraction is known to be given by the Majumdar-Papapetrou solution in the Einstein-Maxwell theory. We consider a generalization of this solution to non-Abelian monopoles of the Yang-Mills Higgs system coupled to gravity. The solution is governed by an analog of the Bogomol'nyi equations that had played a central role in the analysis of non-Abelian monopoles.