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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2022
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| Sujets: | |
| Accès en ligne: | https://arxiv.org/abs/2205.11642 |
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| _version_ | 1866910963321536512 |
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| author | Agostiniani, Virginia Mantegazza, Carlo Mazzieri, Lorenzo Oronzio, Francesca |
| author_facet | Agostiniani, Virginia Mantegazza, Carlo Mazzieri, Lorenzo Oronzio, Francesca |
| contents | We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly established monotonicity formula holding along the level sets of the $p$-capacitary potential of the horizon boundary, in any asymptotically flat $3$-manifold with nonnegative scalar curvature. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2205_11642 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Riemannian Penrose inequality via Nonlinear Potential Theory Agostiniani, Virginia Mantegazza, Carlo Mazzieri, Lorenzo Oronzio, Francesca Differential Geometry Analysis of PDEs 53C21, 31C12, 31C15, 53Z05 We provide a new proof of the Riemannian Penrose inequality for time-symmetric asymptotically flat initial data with a single black-hole horizon. The proof proceeds through a newly established monotonicity formula holding along the level sets of the $p$-capacitary potential of the horizon boundary, in any asymptotically flat $3$-manifold with nonnegative scalar curvature. |
| title | Riemannian Penrose inequality via Nonlinear Potential Theory |
| topic | Differential Geometry Analysis of PDEs 53C21, 31C12, 31C15, 53Z05 |
| url | https://arxiv.org/abs/2205.11642 |