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arXiv · 2408.13801

Initial data set rigidity results for polyhedra

Xiaoxiang Chai·Xueyuan Wan
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Abstract

Using spinors, we show a dihedral type rigidity for polyhedral initial data sets. This rigidity connects spacetime positive mass theorem, dihedral rigidity and capillary marginally trapped surfaces. Our method is to extend the rigidity analysis of spacetime positive mass theorem due to Beig-Chrusciel to the settings of a twisted spinor bundle.

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Xiaoxiang Chai, Xueyuan Wan. 2024-08-25. Initial data set rigidity results for polyhedra. https://arxiv.org/abs/2408.13801

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