Curved-space magnetic monopoles

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Abstract
Explicit solutions of the coupled Einstein-Yang-Mills-Higgs field equations representing a ’t Hooft–Polyakov–type magnetic monopole are constructed, both in and away from the Bogomolny-Prasad-Sommerfield limit. The solutions are seen to tend towards black-hole solutions as the strength of the gravitational coupling is increased, as might be expected. A careful analysis of solutions near the transition to a black hole shows that the monopole loses its non-Abelian hair as it develops a horizon. In certain cases, solutions without a horizon are seen to be unstable to gravitational collapse.

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