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arXiv · 1903.02967

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

Xinliang An
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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.

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Xinliang An. 2020-01-10. A Scale-Critical Trapped Surface Formation Criterion: A New Proof via Signature for Decay Rates. https://arxiv.org/abs/1903.02967

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