Classical singularities inside black holes in the Einstein-Yang-Mills theory
exhibit unusual features. Only for discrete values of the black hole mass one
encounters singularities of the Schwarzschild type (timelike) and the
Reissner-Nordstrom type (spacelike). For a generic mass the approach to
singularity is not smooth: the metric oscillates with an infinitely growing
amplitude and decreasing period. In spite of some similarity with the BKL
oscillations, here the behavior is not chaotic. However the oscillation
amplitude exceeds classical limits after few cycles, so the question arises how
this behavior gets modified by quantum effects. We discuss this issue both in
the framework of QFT and in the string theory.Comment: 2 pages, Contribution to the 9th Marcel Grossmann meeting (MG9),
Rome, July 200
