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arXiv · 2604.04877

The formation of a weak null singularity in the interior of generic rotating black holes

Jonathan Luk·Jan Sbierski
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Abstract

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.

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Jonathan Luk, Jan Sbierski. 2026-04-06. The formation of a weak null singularity in the interior of generic rotating black holes. https://arxiv.org/abs/2604.04877

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