Late-time evolution of the gravitating Skyrmion

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.