Regularity of the Future Event Horizon in Perturbations of Kerr
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866929492655603712 |
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| author | Chen, Xuantao Klainerman, Sergiu |
| author_facet | Chen, Xuantao Klainerman, Sergiu |
| contents | The goal of the paper is to show that the event horizons of the spacetimes constructed in \cite{KS}, see also \cite{KS-Schw}, in the proof of the nonlinear stability of slowly rotating Kerr spacetimes $\mathcal{K}(a_0,m_0)$, are necessarily smooth null hypersurfaces. Moreover we show that the result remains true for the entire range of $|a_0|/m_0$ for which stability can be established. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_05700 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Regularity of the Future Event Horizon in Perturbations of Kerr Chen, Xuantao Klainerman, Sergiu General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry The goal of the paper is to show that the event horizons of the spacetimes constructed in \cite{KS}, see also \cite{KS-Schw}, in the proof of the nonlinear stability of slowly rotating Kerr spacetimes $\mathcal{K}(a_0,m_0)$, are necessarily smooth null hypersurfaces. Moreover we show that the result remains true for the entire range of $|a_0|/m_0$ for which stability can be established. |
| title | Regularity of the Future Event Horizon in Perturbations of Kerr |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs Differential Geometry |
| url | https://arxiv.org/abs/2409.05700 |