Trapped surface formation for spherically symmetric Einstein-Maxwell-charged scalar field system with double null foliation

Abstract

In this paper, under spherical symmetry we prove a trapped surface formation criterion for the Einstein-Maxwell-charged scalar field system. We generalize an approach introduced by Christodoulou for studying the Einstein-scalar field. In appendix, with double null foliation we also reprove Christodoulou's result and for Minkowskian incoming characteristic initial data, we improve Christodoulou's bound.

arXiv comment34 pages, submitted Dec 12, 2019