The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866909054792630272 |
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| author | Hirsch, Sven Khuri, Marcus Lesourd, Martin Zhang, Yiyue |
| author_facet | Hirsch, Sven Khuri, Marcus Lesourd, Martin Zhang, Yiyue |
| contents | Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimensions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_24746 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions Hirsch, Sven Khuri, Marcus Lesourd, Martin Zhang, Yiyue Differential Geometry General Relativity and Quantum Cosmology Analysis of PDEs Using the recent work of Brendle--Wang on the Riemannian positive mass theorem, we prove the spacetime positive mass theorem for asymptotically flat and asymptotically hyperboloidal initial data sets in arbitrary dimensions. |
| title | The Hyperboloidal and Spacetime Positive Mass Theorem in All Dimensions |
| topic | Differential Geometry General Relativity and Quantum Cosmology Analysis of PDEs |
| url | https://arxiv.org/abs/2604.24746 |