Mass of Colored Black Holes
Alejandro Corichi, Daniel Sudarsky
TL;DR
This paper investigates the properties of colored static black holes within Einstein-Yang-Mills theory, revealing unexpected relations between different mass measures and proposing a framework for testing black hole stability.
Contribution
It introduces a Hamiltonian Horizon Mass concept for colored black holes and uncovers a novel relation between ADM and Horizon masses linked to soliton solutions.
Findings
Relation between ADM and Horizon masses of black holes and solitons
Use of isolated horizons framework for defining black hole mass
Potential for testing instability of hairy black holes
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 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.
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