The Positive Mass Theorem for Creased Initial Data
Fuente:
arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912552012742656 |
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| author | Kazaras, Demetre Khuri, Marcus Lin, Michael |
| author_facet | Kazaras, Demetre Khuri, Marcus Lin, Michael |
| contents | We establish a spacetime positive mass theorem and rigidity statement for asymptotically flat spin initial data sets with a codimension one singularity controlled by a matching Bartnik data condition involving spacetime rotations, and discuss applications. This generalizes several previous works on the topic, including results of Miao, Tsang, and Shi-Tam. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17585 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | The Positive Mass Theorem for Creased Initial Data Kazaras, Demetre Khuri, Marcus Lin, Michael Differential Geometry General Relativity and Quantum Cosmology 53C21, 83C99 We establish a spacetime positive mass theorem and rigidity statement for asymptotically flat spin initial data sets with a codimension one singularity controlled by a matching Bartnik data condition involving spacetime rotations, and discuss applications. This generalizes several previous works on the topic, including results of Miao, Tsang, and Shi-Tam. |
| title | The Positive Mass Theorem for Creased Initial Data |
| topic | Differential Geometry General Relativity and Quantum Cosmology 53C21, 83C99 |
| url | https://arxiv.org/abs/2508.17585 |