On the ADM mass of critical area-normalized capacitors
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866916579382394880 |
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| author | Raulot, Simon |
| author_facet | Raulot, Simon |
| contents | In this note, we prove mass-capacity inequalities for asymptotically flat manifolds whose boundary capacity potential satisfies an overdetermined problem, referred to as critical area-normalized capacitors. As a consequence, we obtain uniqueness results for the Schwarzschild metric, from which improvements in the uniqueness theorems for spin asymptotically flat spacetimes containing a connected photon surface, as well as for spin asymptotically flat static manifolds with boundary are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_13427 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the ADM mass of critical area-normalized capacitors Raulot, Simon Differential Geometry In this note, we prove mass-capacity inequalities for asymptotically flat manifolds whose boundary capacity potential satisfies an overdetermined problem, referred to as critical area-normalized capacitors. As a consequence, we obtain uniqueness results for the Schwarzschild metric, from which improvements in the uniqueness theorems for spin asymptotically flat spacetimes containing a connected photon surface, as well as for spin asymptotically flat static manifolds with boundary are obtained. |
| title | On the ADM mass of critical area-normalized capacitors |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.13427 |