Magnetic monopole in induced Einstein-Yang-Mills models

Abstract

We show that a regular SO(3) non-Abelian monopole cannot exist in induced gravity models with a variety of symmetry breaking potentials. The no-hair theorem 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 nonvanishing cosmological constant. It is shown that the nontrivial non-Abelian monopole solution exists only if the radius of the event horizon is smaller than the characteristic radius of the classical monopole.