An existence proof for the gravitating BPS monopole

TL;DR

This paper proves the existence of gravitating BPS monopoles within Einstein-Yang-Mills-Higgs theory by analytically continuing known solutions using a perturbation method.

Contribution

It provides a rigorous existence proof for gravitating BPS monopoles using a Newtonian perturbation approach, extending known solutions to include gravitational effects.

Findings

Existence of gravitating BPS monopoles established.

Analytic continuation in powers of 1/c^2 demonstrated.

Perturbation method successfully applied to EYMH solutions.

Abstract

We prove the existence of the gravitating BPS monopole in Einstein-Yang-Mills-Higgs (EYMH) theory. Existence is established using a Newtonian perturbation argument which shows that a Yang-Mills-Higgs BPS monopole solution can be be continued analytically in powers of $1/c^{2}$ to an EYMH solution.