  Motivated by the Higgs Inflation scenario, we study static
spherically-symmetric solutions of the non-Abelian Higgs model coupled
non-minimally to Gravity. We find solutions for the self-gravitating sphaleron
as well as monopole-like solutions and study the impact of the non-minimal
coupling on their properties. Finally we discuss shortly the possibility that
these solutions interact gravitationally with star-like objects like boson
stars.
