  New results pertaining to colored static black hole solutions to the
Einstein-Yang-Mills equations are obtained. The isolated horizons framework is
used to define the concept of Hamiltonian Horizon Mass of the black hole. An
unexpected relation between the ADM and Horizon masses of the black hole
solution with the ADM mass of the corresponding Bartnik-McKinnon soliton is
found. These results can be generalized to other non-linear theories and they
suggest a general testing bed for the instability of the corresponding hairy
black holes.
