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Phys. Rev. D 61, 101501(R) (2000) [4 pages]

Mass of colored black holes

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Alejandro Corichi* and Daniel Sudarsky
Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, A. Postal 70-543, México D.F. 04510, Mexico

Received 10 December 1999; published 12 April 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.61.101501
DOI:
10.1103/PhysRevD.61.101501
PACS:
04.70.Bw

*E-mail address: corichi@nuclecu.unam.mx

E-mail address: sudarsky@nuclecu.unam.mx