Spherically symmetric Yang-Mills solutions in a(4+n)-dimensional space-time

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 the So(5) Einstein Yang-mills Equations

Globally regular (ie. asymptotically flat and regular interior), spherically symmetric and localised (“particle-like”) solutions of the coupled Einstein Yang-Mills (EYM) equations with gauge group SU(2) have been known for more than 20 years, yet their properties are still not well understood. Spherically symmetric Yang–Mills fields are classified by a choice of isotropy generator and SO(5) is ...

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...

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

Late-time evolution of the Yang-Mills field in the spherically symmetric gravitational collapse

We investigate the late-time evolution of the Yang-Mills field in the selfgravitating backgrounds: Schwarzschild and Reissner-Nordström spacetimes. The late-time power-law tails develop in the three asymptotic regions: the future timelike infinity, the future null infinity and the black hole horizon. In these two backgrounds, however, the late-time evolution has quantitative and qualitative dif...