Spherical Self-Similar Solutions in Einstein-Multi-Scalar Gravity
Eric W. Hirschmann, Anzhong Wang
TL;DR
This paper investigates self-similar solutions in Einstein gravity coupled with multi-scalar fields, providing a complete characterization under spherical symmetry and exploring their connection to critical gravitational collapse.
Contribution
It introduces a framework for analyzing self-similar solutions in Einstein-multi-scalar gravity and discusses their relevance to critical collapse phenomena.
Findings
Complete determination of spherically symmetric self-similar spacetimes.
Relation established between specific matter models and critical collapse.
Insights into the structure of solutions in Einstein-multi-scalar theories.
Abstract
We consider a general non-linear sigma model coupled to Einstein gravity and show that in spherical symmetry and for a simple realization of self-similarity, the spacetime can be completely determined. We also examine some more specific matter models and discuss their relation to critical collapse.
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