Linear stability of Kerr black holes in the full subextremal range

2025/06/26 by Dietrich Häfner, Häfner, Dietrich, Peter Hintz +3 · 2 citations
Mathematics · Physics and Astronomy · #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2506.21183

openalex publication_date 2025/06/26 · openalex created_date 2025/10/09 · openalex updated_date 2026/07/28

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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• Amplification of new physics in the quasinormal mode spectrum of highly-rotating black holes
• Elliptic curvature estimates for linearised gravitational perturbations of Kerr in the full sub-extremal range |a|

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