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The Teukolsky equation on Kerr black hole spacetimes

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If you have a question about this talk, please contact Renato Velozo.

The Teukolsky equation is one of the fundamental equations governing linear gravitational perturbations of the Kerr black hole family. Making use of the separability of the equation, we study fixed frequency solutions and obtain estimates which are uniform in the separation parameters.

As a corollary we show that solutions of the Teukolsky equation are bounded and decay in time; this is a key first step in establishing linear stability of Kerr. Moreover, our estimates can also shed light on more delicate features of the Teukolsky equation, such as their scattering properties.

This is joint work with Yakov Shlapentokh-Rothman (Princeton).

This talk is part of the Cambridge Analysts' Knowledge Exchange series.

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