Characteristic Gluing with $Λ$ 1. Linearised Einstein equations on four-dimensional spacetimes
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866916329811869696 |
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| author | Chruściel, Piotr T. Cong, Wan |
| author_facet | Chruściel, Piotr T. Cong, Wan |
| contents | We establish a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic surfaces in static vacuum four-dimensional backgrounds with cosmological constant $Λ\in \mathbb{R}$ and arbitrary topology of the compact cross-sections of the null hypersurface. This generalises and complements, in the linearised case, the pioneering analysis of Aretakis, Czimek and Rodnianski, carried-out on light-cones in Minkowski spacetime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2212_10052 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Characteristic Gluing with $Λ$ 1. Linearised Einstein equations on four-dimensional spacetimes Chruściel, Piotr T. Cong, Wan General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry We establish a gluing theorem for linearised vacuum gravitational fields in Bondi gauge on a class of characteristic surfaces in static vacuum four-dimensional backgrounds with cosmological constant $Λ\in \mathbb{R}$ and arbitrary topology of the compact cross-sections of the null hypersurface. This generalises and complements, in the linearised case, the pioneering analysis of Aretakis, Czimek and Rodnianski, carried-out on light-cones in Minkowski spacetime. |
| title | Characteristic Gluing with $Λ$ 1. Linearised Einstein equations on four-dimensional spacetimes |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2212.10052 |