August 25, 2024Open Access

Initial data set rigidity results for polyhedra

XCXiaoxiang ChaiPohang University of Science and Technology XWXueyuan WanChongqing University of Technology

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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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Chai et al. (Sun,) studied this question.

synapsesocial.com/papers/68e5b027b6db643587549cad https://doi.org/https://doi.org/10.48550/arxiv.2408.13801

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