Near Field Behavior of Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations with Cosmological Constant

Abstract

We consider static spherically symmetric solutions of the Einstein equations with cosmological constant coupled to the SU(2) Yang Mills equations. We prove that most solutions can be continued back to the origin of spherical symmetry and that the qualitative behavior of solutions near this origin does not depend on the value of the cosmological constant.