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arXiv · 2509.06828

Elliptic curvature estimates for linearised gravitational perturbations of Kerr in the full sub-extremal range $|a|<M$

Gabriele Benomio·Rita Teixeira da Costa
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Abstract

We consider the linearised vacuum Einstein equations around a Kerr exterior solution and present a scheme to prove elliptic $L^2(\mathbb{S}^2)$-estimates for the linearised curvature quantities in the equations. The scheme employs the linearised system of equations derived in the first author's doctoral thesis and applies to the full sub-extremal range of Kerr parameters $0\leq |a|<M$.

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Gabriele Benomio, Rita Teixeira da Costa. 2025-09-08. Elliptic curvature estimates for linearised gravitational perturbations of Kerr in the full sub-extremal range $|a|<M$. https://arxiv.org/abs/2509.06828

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