Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations with Small Positive Cosmological Constant

We consider static spherically symmetric solutions of the Einstein equations sith small positive cosmological constant coupled to the SU(2) Yang Mills equations. We prove that near the origin of spherical symmetry, the cosmological constant has no effect. We also prove the existence of a family of solutions that are globally smooth except for a coordinate singularity and which asymptotically approach deSitter space