Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge
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arXiv
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| Format: | Preprint |
| Published: |
2026
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| _version_ | 1866915736772935680 |
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| author | Raulot, Simon |
| author_facet | Raulot, Simon |
| contents | For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted to the presence of a negative cosmological constant, we establish positive energy--momentum theorems, showing in particular that this functional is non--negative on a natural real cone. We place particular emphasis on the case where the manifold carries a compact inner boundary. In the time--symmetric setting, this yields a mass--charge inequality for asymptotically hyperbolic manifolds with charge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_11728 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge Raulot, Simon Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics For complete spin initial data sets with an asymptotically anti--de Sitter end, we introduce a charged energy--momentum defined as a linear functional arising from the Einstein--Maxwell constraints. Under a dominant energy condition adapted to the presence of a negative cosmological constant, we establish positive energy--momentum theorems, showing in particular that this functional is non--negative on a natural real cone. We place particular emphasis on the case where the manifold carries a compact inner boundary. In the time--symmetric setting, this yields a mass--charge inequality for asymptotically hyperbolic manifolds with charge. |
| title | Positive energy-momentum theorems for asymptotically AdS spin initial data sets with charge |
| topic | Differential Geometry General Relativity and Quantum Cosmology Mathematical Physics |
| url | https://arxiv.org/abs/2601.11728 |