Late-time evolution of the gravitating Skyrmion

TL;DR

This paper investigates the long-term behavior of spherically symmetric solutions in the Einstein Skyrme model, revealing universal relaxation patterns towards a soliton attractor characterized by quasinormal modes and power-law tails.

Contribution

It demonstrates the universality of the relaxation process to the Skyrmion in the Einstein Skyrme model and analyzes how asymptotic parameters depend on the coupling constant.

Findings

Relaxation to the Skyrmion is universal across initial data.

The relaxation involves quasinormal oscillations and power-law tails.

Asymptotic parameters depend on the model's coupling constant.

Abstract

We study the dynamics of spherically symmetric solutions in the Einstein Skyrme model. We focus our attention on generic long time evolution of initial data resulting in the formation of the B = 1 soliton, which plays the role of an attractor. We demonstrate that similarly to the case of flat space evolution, the relaxation to the regular soliton (which we will call Skyrmion) is universal and may be treated as a superposition of two effects quasinormal oscillations responsible for intermediate asymptotics and a power-law tail describing the behavior of the system at very long times. We determine the values of parameters describing asymptotics and examine their dependence on the value of dimensionless coupling constant of the model.