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Hyperbolic & Dispersive PDE Seminar

A new gauge for gravitational perturbations of Kerr spacetimes

Gabriele Benomio (Princeton University)

Location:  705
Date & time: Thursday, 02 March 2023 at 3:30PM - 4:30PM

I will present a new geometric framework to address the stability of the Kerr solution to gravitational perturbations in the full sub-extremal range. Central to the framework is a new formulation of nonlinear gravitational perturbations of Kerr in a geometric gauge tailored to the outgoing principal null geodesics of Kerr. 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.

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