The formation of a weak null singularity in the interior of generic rotating black holes
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arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866908940145524736 |
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| author | Luk, Jonathan Sbierski, Jan |
| author_facet | Luk, Jonathan Sbierski, Jan |
| contents | Given a characteristic initial value problem with smooth data representing a dynamical event horizon settling down to that of Kerr in the subextremal, strictly rotating range with suitable upper and lower bounds, we prove that a weak null singularity forms, across which the spacetime metric is continuously extendible but not Lipschitz extendible. The bulk of the proof is a stability argument showing that a dynamical Teukolsky field can be approximated by a linear Teukolsky field, whose linear instability was proved in previous works. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_04877 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The formation of a weak null singularity in the interior of generic rotating black holes Luk, Jonathan Sbierski, Jan General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs Given a characteristic initial value problem with smooth data representing a dynamical event horizon settling down to that of Kerr in the subextremal, strictly rotating range with suitable upper and lower bounds, we prove that a weak null singularity forms, across which the spacetime metric is continuously extendible but not Lipschitz extendible. The bulk of the proof is a stability argument showing that a dynamical Teukolsky field can be approximated by a linear Teukolsky field, whose linear instability was proved in previous works. |
| title | The formation of a weak null singularity in the interior of generic rotating black holes |
| topic | General Relativity and Quantum Cosmology Mathematical Physics Analysis of PDEs |
| url | https://arxiv.org/abs/2604.04877 |