A Scale-Critical Trapped Surface Formation Criterion: A New Proof via Signature for Decay Rates

2019/03/06 by Xinliang An, An, Xinliang · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories

paper · pdf · doi:10.48550/arxiv.1903.02967

Abstract

For gravitational collapse, we observe a correspondence between region close to past null infinity and region close to central singularity. In line with this philosophy, we construct a new ansatz, with which we first present a 40-page self-contained proof of trapped surface formation in a far-from-center region. A systematical approach with only signature for decay rates is used. Then by a rescaling argument, we convert this result into a reproof and an extension of a scale-critical theorem proved by An-Luk.

Cited by

• Construction of Cauchy data for the dynamical formation of apparent horizons and the Penrose Inequality
• Anisotropic Dynamical Horizons Arising in Gravitational Collapse
• A scale-critical trapped surface formation criterion for the Einstein-Maxwell system

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