Mass of colored black holes - art. no. 101501

New results pertaining to colored static black hole solutions to the Einste in-Yang-Mills equations are obtained. The isolated horizons framework is us ed to define the concept of the Hamiltonian horizon mass of the black hole. An unexpected relation between the Arnowitt-Deser-Misner (ADM) and horizon masses of the black hole solution and the ADM mass of the corresponding Ba rtnik-McKinnon soliton is found. These results can be generalized to other nonlinear theories and they suggest a general testing bed for the instabili ty of the corresponding hairy black holes.