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

General Relativity and Quantum Cosmology 2010-11-19 v1

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.

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Cite

@article{arxiv.gr-qc/0005005,
  title  = {Far Field Behavior of Noncompact Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations},
  author = {Alexander N. Linden},
  journal= {arXiv preprint arXiv:gr-qc/0005005},
  year   = {2010}
}

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10 pages