Skyrme Black Holes in the Isolated Horizons Formalism

TL;DR

This paper investigates static Skyrme black holes using the isolated horizons formalism, testing conjectures about their nature as bound states, and finds partial agreement with some conjectures but also notable violations.

Contribution

It introduces a novel application of the isolated horizons formalism to Skyrme black holes and tests conjectures about their structure and properties.

Findings

Good overall agreement with conjectures

Identification of a key violation of one conjecture

Insights into the bound state interpretation of Skyrme black holes

Abstract

We study static, spherically symmetric, Skyrme black holes in the context of the assumption that they can be viewed as bound states between ordinary bare black holes and solitons. This assumption and results stemming from the isolated horizons formalism lead to several conjectures about the static black hole solutions. These conjectures are tested against the Skyrme black hole solutions. It is shown that, while there is in general good agreement with the conjectures, a crucial aspect seems to violate one of the conjectures.