Internal structure of Einstein-Yang-Mills black holes

Abstract

The interior structure of the static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills theory is investigated both analytically and numerically. It is shown that violation of the no-hair conjecture in this theory has a nontrivial manifestation also inside the event horizon. Although both Schwarzschild and Reissner-Nordstr\"om-type interiors still may be realized for certain discrete horizon radii, a generic solution exhibits an infinitely oscillating behavior near the singularity. No inner horizons are formed and the singularity is spacelike, although an infinite sequence of ``almost'' Cauchy horizons is encountered. The amplitude of metric oscillations grows exponentially as the singularity is approached. An approximate two-dimensional dynamical system is derived, which describes an asymptotic structure of space-time near the singularity.