Self-similar spherically symmetric wave maps coupled to gravity

TL;DR

This paper explores self-similar solutions in a gravity-coupled SU(2) sigma model, revealing a family of solutions that could influence black hole formation understanding.

Contribution

It demonstrates the existence of a countable family of regular CSS solutions in the coupled model using combined numerical and analytical approaches.

Findings

Existence of a countable family of CSS solutions for small coupling

Implications for black hole formation studies

Evidence gathered through numerical and analytical methods

Abstract

We investigate spherically symmetric continuously self-similar (CSS) solutions in the SU(2) sigma model coupled to gravity. Using mixed numerical and analytical methods, we provide evidence for the existence (for small coupling) of a countable family of regular CSS solutions. This fact is argued to have important implications for the ongoing studies of black hole formation in the model.