Mass formula for Einstein-Yang-Mills solitons

Abstract
The isolated horizon formalism, together with a simple phenomenological model for colored black holes was recently used to predict a formula for the ADM mass of the solitons of the EYM system in terms of horizon properties of black holes for all values of the horizon area. In this Brief Report, this formula is tested numerically—up to a large value of the area—for spherically symmetric solutions and shown to yield the known masses of the solitons.
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