On the Stability of Gravitating Nonabelian Monopoles

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.

9 pages, 7 figures, minor changes

References in corpus (3)

• Black Holes in Magnetic Monopoles
• Gravitating Monopole Solutions II
• A Classical Instability of Reissner-Nordstrom Solutions and the Fate of Magnetically Charged Black Holes

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• Gravitating Dyons and Dyonic Black Holes
• Gravitational Properties of Monopole Spacetimes Near the Black Hole Threshold
• Dyonic Non-Abelian Black Holes
• Rotating Black Holes with Monopole Hair
• Rotating black holes with non-Abelian hair
• Stability Analysis of The Twisted Superconducting Semilocal Strings
• Static spherically symmetric monopole solutions in the presence of a dilaton field
• Some Remarks on Gravitational Global Monopoles
• Type II critical behavior of gravitating magnetic monopoles
• Are gravitating magnetic monopoles stable?
• Radiatively induced symmetry breaking and the conformally coupled magnetic monopole in AdS space
• Magnetic monopole solutions with a massive dilaton
• Stability and Critical Behavior of Gravitational Monopoles
• Asymptotic Stability Analysis for $SU(n)$ Dark Monopoles