Black Hole Skyrmions with Negative Cosmological Constant

TL;DR

This paper explores black hole solutions with Skyrme hair in anti-de Sitter space, analyzing their configurations and stability, and finds stable solutions in certain parameter regimes.

Contribution

It introduces stable black hole Skyrmion solutions in Einstein-Skyrme theory with negative cosmological constant, extending previous flat spacetime results.

Findings

Existence of linearly stable black hole Skyrmions in AdS space.

Skyrmion configurations depend on the cosmological constant.

Stability analysis via numerical perturbation methods confirms stability in specific branches.

Abstract

We study spherically symmetric black hole solutions with Skyrme hair in the Einstein-Skyrme theory with a negative cosmological constant. The dependence of the skyrmion field configuration on the cosmological constant is examined. The stability is investigated in detail by solving the linearly perturbed equation numerically. It is shown that there exist linearly stable solutions in the branch which represents unstable configuration in the asymptotically flat spacetime.