Linear stability of Kerr black holes in the full subextremal range
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866913913918980096 |
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| author | Häfner, Dietrich Hintz, Peter Vasy, András |
| author_facet | Häfner, Dietrich Hintz, Peter Vasy, András |
| contents | We prove, unconditionally, the linear stability of the Kerr family in the full subextremal range. On an analytic level, our proof is the same as that of our earlier paper in the slowly rotating case. The additional ingredients we use are, firstly, the mode stability result proved by Andersson, Whiting, and the first author and, secondly, computations related to the zero energy behavior of the linearized gauge-fixed Einstein equation in work by the second author. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21183 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Linear stability of Kerr black holes in the full subextremal range Häfner, Dietrich Hintz, Peter Vasy, András General Relativity and Quantum Cosmology Analysis of PDEs We prove, unconditionally, the linear stability of the Kerr family in the full subextremal range. On an analytic level, our proof is the same as that of our earlier paper in the slowly rotating case. The additional ingredients we use are, firstly, the mode stability result proved by Andersson, Whiting, and the first author and, secondly, computations related to the zero energy behavior of the linearized gauge-fixed Einstein equation in work by the second author. |
| title | Linear stability of Kerr black holes in the full subextremal range |
| topic | General Relativity and Quantum Cosmology Analysis of PDEs |
| url | https://arxiv.org/abs/2506.21183 |