Regular and Black Hole Skyrmions with Axisymmetry

TL;DR

This paper numerically investigates how gravity influences the structure of axially symmetric Skyrme solutions, including regular and black hole skyrmions, revealing effects on energy and baryon densities.

Contribution

It introduces numerical solutions of axially symmetric Skyrme configurations coupled to gravity, expanding understanding of gravitational effects on skyrmions.

Findings

Gravity alters the energy density distribution of skyrmions.

Black hole skyrmions exhibit distinct baryon density profiles.

Regular skyrmions maintain axial symmetry under gravitational influence.

Abstract

It has been known that a B=2 skyrmion is axially symmetric. We consider the Skyrme model coupled to gravity and obtain static axially symmetric regular and black hole solutions numerically. Computing the energy density of the skyrmion, we discuss the effect of gravity to the energy density and baryon density of the skyrmion.