On the spacetime positive energy theorem in arbitrary dimension
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866911629902348288 |
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| author | Brendle, S. Wang, Y. |
| author_facet | Brendle, S. Wang, Y. |
| contents | We describe how the spacetime positive energy theorem in dimension $n \geq 4$ follows from our recent work on the Riemannian version of the positive mass theorem. Our proof builds on the fundamental work of Schoen and Yau and the remarkable work of Eichmair, and uses the Jang equation with a capillary term. We also use the shielding principle from the work of Lesourd-Unger-Yau. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_18561 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the spacetime positive energy theorem in arbitrary dimension Brendle, S. Wang, Y. Differential Geometry We describe how the spacetime positive energy theorem in dimension $n \geq 4$ follows from our recent work on the Riemannian version of the positive mass theorem. Our proof builds on the fundamental work of Schoen and Yau and the remarkable work of Eichmair, and uses the Jang equation with a capillary term. We also use the shielding principle from the work of Lesourd-Unger-Yau. |
| title | On the spacetime positive energy theorem in arbitrary dimension |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2604.18561 |