INTERNAL STRUCTURE OF EINSTEIN-YANG-MILLS BLACK-HOLES

The interior structure of the static spherically symmetric black holes in the SU(2) Einstein-Yang-Mills theory is investigated both analytic ally and numerically. It is shown that violation of the no-hair conjec ture in this theory has a nontrivial manifestation also inside the eve nt horizon. Although both Schwarzschild and Reissner-Nordstrom-type in teriors still may be realized for certain discrete horizon radii, a ge neric solution exhibits an infinitely oscillating behavior near the si ngularity. No inner horizons are formed and the singularity is spaceli ke, although an infinite sequence of ''almost'' Cauchy horizons is enc ountered. The amplitude of metric oscillations grows exponentially as the singularity is approached. An approximate two-dimensional dynamica l system is derived, which describes an asymptotic structure of space- time near the singularity.