Initial data set rigidity results for polyhedra
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866912001008074752 |
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| author | Chai, Xiaoxiang Wan, Xueyuan |
| author_facet | Chai, Xiaoxiang Wan, Xueyuan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2408_13801 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Initial data set rigidity results for polyhedra Chai, Xiaoxiang Wan, Xueyuan Differential Geometry General Relativity and Quantum Cosmology 53C24, 53C27, 83C05, 83C60 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. |
| title | Initial data set rigidity results for polyhedra |
| topic | Differential Geometry General Relativity and Quantum Cosmology 53C24, 53C27, 83C05, 83C60 |
| url | https://arxiv.org/abs/2408.13801 |