  We study magnetically charged black holes in the Einstein-Yang-Mills-Higgs
theory in the limit of infinitely strong coupling of the Higgs field. Using
mixed analytical and numerical methods we give a complete description of static
spherically symmetric black hole solutions, both abelian and nonabelian. In
particular, we find a new class of extremal nonabelian solutions. We show that
all nonabelian solutions are stable against linear radial perturbations. The
implications of our results for the semiclassical evolution of magnetically
charged black holes are discussed.
