Structure of solutions of the Skyrme model on three-sphere. Numerical results

TL;DR

This paper explores the diverse solitonic solutions of the Skyrme model on a three-sphere, revealing a tripartite structure and their configurations, which may offer insights into complex models like General Relativity.

Contribution

It establishes the tripartite structure of solutions in the Skyrme model on three-sphere and identifies the configurations where these solutions appear, providing a new understanding of the model's solution space.

Findings

Rich spectrum of solitonic solutions

Tripartite structure of solutions

Configurations where solutions appear

Abstract

The hedgehog Skyrme model on three-sphere admits very rich spectrum of solitonic solutions which can be encompassed by a strikingly simple scheme. The main result of this paper is the statement of the tripartite structure of solutions of the model and the discovery in what configurations these solutions appear. The model contains features of more complicated models in General Relativity and as such can give insight into them.