paper

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

arXiv:gr-qc/0005005 · doi:10.1063/1.1287918

Abstract

The Einstein equations with small positive cosmological constant coupled to an SU(2) Yang Mills field admits solutions that possess a coordinate singularity at a noncritical radius. Here, we prove that these solutions are otherwise globally smooth and that they asymptotically approach Schwarzschild deSitter space with a vanishing Yang Mills field.

10 pages

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