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On the Stability of Gravitating Nonabelian Monopoles

Helia Hollmann

gr-qcarXiv:gr-qc/9406018

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.

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