14–16 May 2024
CERN
Europe/Zurich timezone

A special property of natural polynomials for Schwarzschild black holes

Not scheduled
2h
61/1-201 - Pas perdus - Not a meeting room - (CERN)

61/1-201 - Pas perdus - Not a meeting room -

CERN

10
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Speaker

Michelle Gurevich (King's College London)

Description

We present a special property of natural polynomials related to the overtone label of quasi-normal modes for Schwarzschild black holes. The natural polynomials for the radial Teukolsky equation have been the subject of recent work involving quasinormal modes of Kerr black holes. These polynomials, which can be constructed using Gram-Schmidt orthogonalization, are a basis for the ringdown strain of gravitational wave signals from black hole mergers. We derive a three-term recurrence relation which allows us to shift overtone peaks using algebraically special frequencies, and to provide insight into the physical significance of the overtone index.

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Primary author

Michelle Gurevich (King's College London)

Co-author

Presentation materials