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Trapped surface formation for spherically symmetric Einstein-Maxwell-charged scalar field system with double null foliation (2005.04090v1)

Published 8 May 2020 in math.AP, gr-qc, math-ph, math.DG, and 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.

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