A Mass Formula for EYM Solitons
Alejandro Corichi, Ulises Nucamendi, Daniel Sudarsky
TL;DR
This paper tests a recently proposed mass formula for Einstein-Yang-Mills solitons using numerical methods, confirming its accuracy across a wide range of horizon areas for spherically symmetric solutions.
Contribution
It provides the first numerical validation of the mass formula for EYM solitons across all horizon areas, extending previous theoretical predictions.
Findings
The mass formula accurately predicts soliton masses for large horizon areas.
Numerical results agree with the theoretical predictions for all tested cases.
The formula holds for spherically symmetric solutions across a broad parameter range.
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 {\it for all} values of the horizon area. In this note, 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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