We present analytical and numerical results for static, spherically symmetric solutions of the Einstein-Yang-Mills-Higgs equations corresponding to magnetic monopoles and non-abelian magnetically charged black holes. In the limit of in nite Higgs mass we give an existence proof for these solutions. The stability of the abelian extremal Reissner-Nordstr m black holes is reanalyzed.
A general definition of symmetries of gauge fields is proposed and a method developed for constructing symmetric fields for an arbitrary gauge group. Scalar fields occur naturally in the formalism and the pure gauge theory reduces to a Higgs model in lower dimensions.
We study the global behaviour of static, spherically symmetric solutions of the Einstein-Yang-Mills equations with gauge group SU(2). Our analysis results in three disjoint classes of solutions with a regular origin or a horizon. The 3-spaces (t = const.) of the first, generic class are compact and singular. The second class consists of an infinite family of globally regular, resp. black hole solutions. The third type is an oscillating solution, which although regular is not asymptotically flat.
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