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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2026
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| Soggetti: | |
| Accesso online: | https://arxiv.org/abs/2601.04117 |
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| _version_ | 1866908751806595072 |
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| author | Fang, Allen Juntao Szeftel, Jérémie Touati, Arthur |
| author_facet | Fang, Allen Juntao Szeftel, Jérémie Touati, Arthur |
| contents | We prove energy, Morawetz and $r^p$-weighted estimates for solutions to the Teukolsky equation set on a slowly-rotating Kerr-de Sitter background. The main feature of our estimates is their uniformity with respect to the cosmological constant $Λ>0$ (thus allowed to tend to $0$), while they hold on the whole domain of outer communications, extending up to $r\sim Λ^{-\frac{1}{2}}$. As an application of our result, we recover well-known corresponding estimates for solutions to Teukolsky on a slowly-rotating Kerr background in the limit $Λ\to 0$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_04117 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Teukolsky on slowly-rotating Kerr-de Sitter in the vanishing $Λ$ limit Fang, Allen Juntao Szeftel, Jérémie Touati, Arthur Analysis of PDEs We prove energy, Morawetz and $r^p$-weighted estimates for solutions to the Teukolsky equation set on a slowly-rotating Kerr-de Sitter background. The main feature of our estimates is their uniformity with respect to the cosmological constant $Λ>0$ (thus allowed to tend to $0$), while they hold on the whole domain of outer communications, extending up to $r\sim Λ^{-\frac{1}{2}}$. As an application of our result, we recover well-known corresponding estimates for solutions to Teukolsky on a slowly-rotating Kerr background in the limit $Λ\to 0$. |
| title | Teukolsky on slowly-rotating Kerr-de Sitter in the vanishing $Λ$ limit |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.04117 |