Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866916069498683392 |
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| author | An, Zhongshan Anderson, Michael T. |
| author_facet | An, Zhongshan Anderson, Michael T. |
| contents | In this second work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations in general relativity with twisted Dirichlet boundary conditions on a finite timelike boundary. The boundary conditions consist of specification of the pointwise conformal class of the boundary metric, together with a scalar density involving a combination of the volume form of the bulk metric restricted to the boundary together with the volume form of the boundary metric itself. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2507_15567 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data An, Zhongshan Anderson, Michael T. General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry In this second work in a series, we prove the local-in-time well-posedness of the IBVP for the vacuum Einstein equations in general relativity with twisted Dirichlet boundary conditions on a finite timelike boundary. The boundary conditions consist of specification of the pointwise conformal class of the boundary metric, together with a scalar density involving a combination of the volume form of the bulk metric restricted to the boundary together with the volume form of the boundary metric itself. |
| title | Well-posed geometric boundary data in General Relativity, II: twisted Dirichlet boundary data |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2507.15567 |