Characteristic Gluing with $Λ$: II. Linearised equations in higher dimensions
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911949213663232 |
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| author | Cong, Wan Chruściel, Piotr T. Gray, Finnian |
| author_facet | Cong, Wan Chruściel, Piotr T. Gray, Finnian |
| contents | We prove a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic hypersurfaces in static vacuum $(n+1)$-dimensional backgrounds with cosmological constant $ Λ\in \mathbb{R}$, $n\ge 4$. This generalises, in the linearised case, the pioneering analysis of Aretakis, Czimek and Rodnianski, carried-out on light cones in four-dimensional Minkowski spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04442 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characteristic Gluing with $Λ$: II. Linearised equations in higher dimensions Cong, Wan Chruściel, Piotr T. Gray, Finnian General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry We prove a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic hypersurfaces in static vacuum $(n+1)$-dimensional backgrounds with cosmological constant $ Λ\in \mathbb{R}$, $n\ge 4$. This generalises, in the linearised case, the pioneering analysis of Aretakis, Czimek and Rodnianski, carried-out on light cones in four-dimensional Minkowski spacetime. |
| title | Characteristic Gluing with $Λ$: II. Linearised equations in higher dimensions |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2401.04442 |