Magnetic monopole in induced Einstein-Yang-Mills models - art. no. 044004

We show that a regular SO(3) non-Abelian monopole cannot exist in induced g ravity models with a variety of symmetry breaking potentials. The no-hair t heorem is also shown to be true in these models. We also analyze the global behavior of the gauge field in the presence of a black hole with a nonvani shing cosmological constant. It is shown that the nontrivial non-Abelian mo nopole solution exists only if the radius of the event horizon is smaller t han the characteristic radius of the classical monopole.