Hawking Mass Monotonicity for Initial Data Sets
Fuente:
arXiv
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| Auteur principal: | |
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| Format: | Preprint |
| Publié: |
2022
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| _version_ | 1866908621310263296 |
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| author | Hirsch, Sven |
| author_facet | Hirsch, Sven |
| contents | We introduce new systems of PDE on initial data sets $(M,g,k)$ whose solutions model double-null foliations. This allows us to generalize Geroch's monotonicity formula for the Hawking mass under inverse mean curvature flow to initial data sets satisfying the dominant energy condition. We study the existence theory of these systems and give geometric applications. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2210_12237 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Hawking Mass Monotonicity for Initial Data Sets Hirsch, Sven Differential Geometry General Relativity and Quantum Cosmology Analysis of PDEs We introduce new systems of PDE on initial data sets $(M,g,k)$ whose solutions model double-null foliations. This allows us to generalize Geroch's monotonicity formula for the Hawking mass under inverse mean curvature flow to initial data sets satisfying the dominant energy condition. We study the existence theory of these systems and give geometric applications. |
| title | Hawking Mass Monotonicity for Initial Data Sets |
| topic | Differential Geometry General Relativity and Quantum Cosmology Analysis of PDEs |
| url | https://arxiv.org/abs/2210.12237 |