Near Field Behavior of Static Spherically Symmetric Solutions of Einstein SU(2) Yang Mills Equations with Cosmological Constant

TL;DR

This paper analyzes static spherically symmetric solutions of Einstein's equations coupled with SU(2) Yang-Mills fields, showing most solutions extend to the origin and their near-origin behavior is independent of the cosmological constant.

Contribution

It demonstrates the extendability of solutions to the origin and establishes the independence of near-origin behavior from the cosmological constant.

Findings

Most solutions can be continued back to the origin.

Near-origin behavior is unaffected by the cosmological constant.

Abstract

We consider static spherically symmetric solutions of the Einstein equations with cosmological constant coupled to the SU(2) Yang Mills equations. We prove that most solutions can be continued back to the origin of spherical symmetry and that the qualitative behavior of solutions near this origin does not depend on the value of the cosmological constant.