Periodic self-similar wave maps coupled to gravity

TL;DR

This paper investigates spherically symmetric self-similar solutions in the SU(2) sigma model coupled to gravity, identifying an unstable periodic solution that acts as a boundary between different attractor basins using combined numerical and analytical methods.

Contribution

It demonstrates the existence of an unstable periodic solution in the model, advancing understanding of the solution space in gravitational sigma models.

Findings

Existence of an unstable periodic solution at the basin boundary.

Identification of the solution's role in the dynamics of the model.

Application of mixed numerical and analytical methods.

Abstract

We continue our studies of spherically symmetric self-similar solutions in the SU(2) sigma model coupled to gravity. Using mixed numerical and analytical methods we show existence of an unstable periodic solution lying at the boundary between the basins of two generic attractors.