Abstract
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 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 Bartnik-McKinnon soliton is found. These results can be generalized to other nonlinear theories and they suggest a general testing bed for the instability of the corresponding hairy black holes.
- Received 10 December 1999
DOI:https://doi.org/10.1103/PhysRevD.61.101501
©2000 American Physical Society
