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arXiv · 2107.12782

Hypersurfaces of prescribed null expansion

Xiaoxiang Chai
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Abstract

We study hypersurfaces with prescribed null expansion in an initial data set. We propose a notion of stability and prove a topology theorem. Eichmair's Perron approach toward the existence of marginally outer trapped surface adapts to the settings of hypersurfaces with prescribed null expansion with only minor modifications.

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Xiaoxiang Chai. 2021-07-27. Hypersurfaces of prescribed null expansion. https://arxiv.org/abs/2107.12782

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