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Revisiting mode stability for Kerr(-dS) black holes

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The Teukolsky master equations are a family of PDEs describing the linear behavior of perturbations of the Kerr black hole family, of which the wave equation is a particular case. As a first essential step towards stability, Whiting showed in 1989 that the Teukolsky equation on subextremal Kerr admits no exponentially growing modes.

In this talk, we review Whiting’s classical proof and a recent adaptation thereof to the extremal Kerr case. We also present a new approach to mode stability, based on uncovering hidden spectral symmetries in the Teukolsky equations. Part of this talk is based on joint work with Marc Casals (CBPF/UCD).

Topic: Friday GR Seminar

Time: Oct 22, 2021 01:30 PM London

https://maths-cam-ac-uk.zoom.us/j/99680141835?pwd=c1Y2R0YrSEZ1T0dUM3FzdENiQXJtUT09

Meeting ID: 996 8014 1835

Passcode: 635710

This talk is part of the DAMTP Friday GR Seminar series.

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