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

2020/05/08 by Xinliang An, An, Xinliang, Zhan Feng Lim +1
Mathematics · Physics and Astronomy · #Analysis of PDEs (math.AP) #Cosmology and Gravitation Theories #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Gas Dynamics and Kinetic Theory #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #Navier-Stokes equation solutions

paper · pdf · doi:10.48550/arxiv.2005.04090

openalex publication_date 2020/05/08 · openalex created_date 2020/11/23 · openalex updated_date 2026/07/28

Abstract

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

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