Axially symmetric monopoles and black holes in Einstein-Yang-Mills-Higgs theory

We investigate static axially symmetric monopole and black hole solutions with a magnetic charge $n>~1$ in Einstein-Yang-Mills-Higgs theory. For a vanishing and small Higgs self-coupling, multimonopole solutions are gravitationally bound. Their mass per unit charge is lower than the mass of the $n=1\mathrm{}$ monopole. For a large Higgs self-coupling only a repulsive phase exists. The static axially symmetric hairy black hole solutions possess a deformed horizon with constant surface gravity. We consider their properties in the isolated horizon framework, interpreting them as bound states of monopoles and black holes. Representing counterexamples to the “no-hair” conjecture, these black holes are neither uniquely characterized by their horizon area and horizon charge.