Conditional non-linear stability of Kerr-de Sitter spacetimes in the full subextremal range
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918120616099840 |
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| author | Hintz, Peter Petersen, Oliver Vasy, András |
| author_facet | Hintz, Peter Petersen, Oliver Vasy, András |
| contents | We show the stability of Kerr-de Sitter black holes, in the full subextremal range, as solutions of the vacuum Einstein equation with a positive cosmological constant under the assumption that mode stability holds for these spacetimes. The method is similar to the (unconditional) proof in the slowly rotating case by Hintz and Vasy. The key novelties are the implementation of constraint damping in the full subextremal range as well as the verification of a subprincipal symbol condition at the trapped set. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2508_06620 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Conditional non-linear stability of Kerr-de Sitter spacetimes in the full subextremal range Hintz, Peter Petersen, Oliver Vasy, András General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry 83C57 (Primary) 83C05, 35B40 (Secondary) We show the stability of Kerr-de Sitter black holes, in the full subextremal range, as solutions of the vacuum Einstein equation with a positive cosmological constant under the assumption that mode stability holds for these spacetimes. The method is similar to the (unconditional) proof in the slowly rotating case by Hintz and Vasy. The key novelties are the implementation of constraint damping in the full subextremal range as well as the verification of a subprincipal symbol condition at the trapped set. |
| title | Conditional non-linear stability of Kerr-de Sitter spacetimes in the full subextremal range |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry 83C57 (Primary) 83C05, 35B40 (Secondary) |
| url | https://arxiv.org/abs/2508.06620 |