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On the linear stability of the Kerr solution to gravitational perturbations

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If you have a question about this talk, please contact Zoe Wyatt .

Kerr black holes are solutions of Einstein’s theory of general relativity and are theoretically predicted to describe astrophysical stationary black holes. A mathematical proof of their nonlinear stability remains a fundamental open problem in the subject. I will present a new geometric framework to address the stability of the Kerr solution to gravitational perturbations in the full sub-extremal range of black hole parameters. The main features of the framework will be illustrated in the context of the linearised theory, which serves as a fundamental building block in nonlinear applications. The talk includes joint work with R. Teixeira da Costa (University of Cambridge).

This talk is part of the Geometric Analysis & Partial Differential Equations seminar series.

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