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

Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology

Scientific paper

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10 pages

Scientific paper

10.1063/1.1287918

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.

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