Far Field Behavior of Noncompact Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations

摘要

The Einstein equations with small positive cosmological constant coupled toan SU(2) Yang Mills field admits solutions that possess a coordinatesingularity at a noncritical radius. Here, we prove that these solutions areotherwise globally smooth and that they asymptotically approach SchwarzschilddeSitter space with a vanishing Yang Mills field.