Internal structure of Einstein-Yang-Mills black holes

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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-Nordström-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.