On the Stability of Gravitating Nonabelian Monopoles

TL;DR

This paper investigates the stability of gravitating nonabelian monopoles under perturbations, identifying conditions for both instability and stability through analytical and numerical methods.

Contribution

It provides new insights into the stability criteria of Einstein-Yang-Mills-Higgs monopoles, combining analytical and numerical approaches to identify stable solutions.

Findings

Some monopoles are unstable under perturbations.

Existence of a set of stable monopole solutions.

Analytical and numerical methods complement each other in stability analysis.

Abstract

The behaviour of magnetic monopole solutions of the Einstein-Yang-Mills-Higgs equations subject to linear spherically symmetric perturbations is studied. Using Jacobi's criterion some of the monopoles are shown to be unstable. Furthermore the numerical results and analytical considerations indicate the existence of a set of stable solutions.