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Hyperbolic & Dispersive PDE Seminar

Decay for the Teukolsky equation on subextremal Kerr black holes

Rita Teixeira da Costa, Princeton University

Location:  Hill 525
Date & time: Thursday, 01 December 2022 at 2:00PM - 3:00PM

The Teukolsky equation is one of the fundamental equations governing linear gravitational perturbations of the Kerr black hole family. We show that solutions arising from suitably regular initial data remain bounded and decay inverse polynomially in time. Our proof holds for the entire subextremal range of Kerr black hole parameters, |a| < M. This is joint work with Yakov Shlapentokh-Rothman (Toronto).