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arXiv · 2506.21183

Linear stability of Kerr black holes in the full subextremal range

Dietrich Häfner·Peter Hintz·András Vasy
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Abstract

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.

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Dietrich Häfner, Peter Hintz, András Vasy. 2025-06-26. Linear stability of Kerr black holes in the full subextremal range. https://arxiv.org/abs/2506.21183

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