A Classification of Spherically Symmetric Static Solutions of SU(2) Einstein Yang Mills Equations with Non-negative Cosmological Constant

0 Near Field Behavior of Static Spherically Symmetric Solutions of Einstein SU ( 2 ) - Yang Mills Equations ∗

We consider static spherically symmetric solutions of the Einstein equations with cosmological constant Λ coupled to the SU(2) Yang Mills equations. We prove that under relatively mild conditions, any solution can be continued back to the origin of spherical symmetry and that the qualitative behavior of the solutions near the origin does not depend on Λ.

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

Existence of Oscillating Solutions of Einstein Su(2) Yang-mills Equations

We give a rigorous proof that for small positive values of the cosmological constant the Einstein equations coupled to an SU(2) Yang-Mills connection yield oscillating spacetimes. These are static, spherically symmetric spacetimes that have the same topology as particle-like spacetimes but differ in geometry. We also give a strict upper bound on values of the cosmological constant that admit su...

0 Existence of Noncompact Static Spherically Symmetric Solutions of Einstein SU ( 2 ) Yang Mills Equations ∗

We consider static spherically symmetric solutions of the Einstein equations with cosmological constant Λ coupled to the SU(2) Yang Mills equations that are smooth at the origin r = 0. We prove that all such solutions have a radius rc at which there is a horizon. However, for any positive integer N , there exists a small positive ΛN , such that whenever 0 < Λ < ΛN , there exist at least N disti...

0 Far Field Behavior of Noncompact Static Spherically Symmetric

There exist static spherically symmetric solutions of the Einstein equations with cosmological constant Λ coupled to the SU(2) Yang Mills equations that are smooth at the origin r = 0 and with an horizon which can be transformed away with a change of coordinates in which the radius increases across the singularity. We establish the global behavior of these solutions. Research performed while a ...