Gravitationally Bound Monopoles

We construct monopole solutions in SU(2) Einstein-Yang-Mills-Higgs theory carrying magnetic charge $n$. For vanishing and small Higgs self-coupling, these multimonopole solutions are gravitationally bound. Their mass per unit charge is lower than the mass of the $n=1\mathrm{}$ monopole. For large Higgs self-coupling only a repulsive phase exists.