Existence of Noncompact Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations with small Cosmological Constant

Details Existence of Noncompact Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations with small Cosmological Constant Existence of Noncompact Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations with small Cosmological Constant

2000-05-01

arxiv.org/abs/gr-qc/0005004v1

Commun.Math.Phys.221:525-547,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

31 pages

Scientific paper

10.1007/s002200100477

We consider static spherically symmetric solutions of Einstein's equations
coupled to an SU(2) Yang Mills field that are smooth at the center of spherical
symmetry. We prove that with small cosmological constant there exist solutions
that possess a coordinate singularity at some r that is not maximum. The
singularity can be removed with a Kruskal-like change of coordinates.

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