Trapped surface formation for spherically symmetric Einstein-Maxwell-charged scalar field system with double null foliation
Analysis of PDEs
2020-05-11 v1 General Relativity and Quantum Cosmology
Mathematical Physics
Differential Geometry
math.MP
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.
Keywords
Cite
@article{arxiv.2005.04090,
title = {Trapped surface formation for spherically symmetric Einstein-Maxwell-charged scalar field system with double null foliation},
author = {Xinliang An and Zhan Feng Lim},
journal= {arXiv preprint arXiv:2005.04090},
year = {2020}
}
Comments
34 pages, submitted Dec 12, 2019