On the uniqueness of Kerr-de Sitter spacetimes
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866915483128692736 |
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| author | Fang, Allen Juntao |
| author_facet | Fang, Allen Juntao |
| contents | In this paper, we prove a series of results concerning the uniqueness of Kerr-de Sitter as a family of smooth stationary black hole solutions to the nonlinear Einstein vacuum equations with positive cosmological constant $Λ$. The results only assume smoothness rather than analyticity of the solution in question. The results use a two-sided approach to rigidity, requiring assumptions on both the event horizon and the cosmological horizon (or a neighborhood thereof) to formulate an appropriate unique continuation argument to prove the rigidity of Kerr-de Sitter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05789 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On the uniqueness of Kerr-de Sitter spacetimes Fang, Allen Juntao General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs 35Q76 In this paper, we prove a series of results concerning the uniqueness of Kerr-de Sitter as a family of smooth stationary black hole solutions to the nonlinear Einstein vacuum equations with positive cosmological constant $Λ$. The results only assume smoothness rather than analyticity of the solution in question. The results use a two-sided approach to rigidity, requiring assumptions on both the event horizon and the cosmological horizon (or a neighborhood thereof) to formulate an appropriate unique continuation argument to prove the rigidity of Kerr-de Sitter. |
| title | On the uniqueness of Kerr-de Sitter spacetimes |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs 35Q76 |
| url | https://arxiv.org/abs/2509.05789 |