On asymptotic stability of the Skyrmion

Abstract

We study the asymptotic behavior of spherically symmetric solutions in the Skyrme model. We show that the relaxation to the degree-one soliton (called the Skyrmion) has a universal form of a superposition of two effects: exponentially damped oscillations (the quasinormal ringing) and a power law decay (the tail). The quasinormal ringing, which dominates the dynamics for intermediate times, is a linear resonance effect. In contrast, the polynomial tail, which becomes uncovered at late times, is shown to be a \emph{nonlinear} phenomenon.

4 pages, 4 figures, minor changes to match the PRD version

References in corpus (3)

• Quasi-Normal Modes of Stars and Black Holes
• Wave Propagation in Gravitational Systems: Late Time Behavior
• Dispersion and collapse of wave maps

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