Horizon Properties of Einstein-Yang-Mills Black Hole
B. Kleihaus, J. Kunz, A. Sood, M. Wirschins

TL;DR
This paper investigates the properties of static axially symmetric Einstein-Yang-Mills black holes, revealing their mass relations and violations of the quasi-local uniqueness conjecture within the isolated horizon framework.
Contribution
It introduces a detailed analysis of Einstein-Yang-Mills black holes' horizon properties, highlighting their mass relations and challenges to existing uniqueness conjectures.
Findings
Black holes' mass relates to particle-like solutions via horizon mass.
Hairy black holes violate the quasi-local uniqueness conjecture.
Analysis within the isolated horizon formalism.
Abstract
We consider static axially symmetric Einstein-Yang-Mills black holes in the isolated horizon formalism. The mass of these hairy black holes is related to the mass of the corresponding particle-like solutions by the horizon mass. The hairy black holes violate the ``quasi-local uniqueness conjecture'', based on the horizon charges.
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