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Destabilizing the fundamental mode of black holes: the elephant and the flea

Destabilizing the fundamental mode of black holes: the elephant and the flea
Destabilizing the fundamental mode of black holes: the elephant and the flea

Recent work applying the notion of pseudospectrum to gravitational physics showed that the quasinormal mode spectrum of black holes is unstable, with the possible exception of the longest-lived (fundamental) mode. The fundamental mode dominates the expected signal in gravitational wave astronomy, and there is no reason why it should have privileged status. We compute the quasinormal mode spectrum of two model problems where the Schwarzschild potential is perturbed by a small "bump"consisting of either a Pöschl-Teller potential or a Gaussian, and we show that the fundamental mode is destabilized under generic perturbations. We present phase diagrams and study a simple double-barrier toy problem to clarify the conditions under which the spectral instability occurs.

0031-9007
Cheung, Mark Ho-yeuk
11db4eaf-ef6c-497a-9f7a-419ac6017e08
Destounis, Kyriakos
419d13e5-3105-4092-9bb8-36014d4b574d
Macedo, Rodrigo Panosso
8f176eb4-ca20-492b-a41e-e78d47d6fefe
Berti, Emanuele
c4bfcf9d-f2a6-44ec-908e-bac3ed5f95b2
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Cheung, Mark Ho-yeuk
11db4eaf-ef6c-497a-9f7a-419ac6017e08
Destounis, Kyriakos
419d13e5-3105-4092-9bb8-36014d4b574d
Macedo, Rodrigo Panosso
8f176eb4-ca20-492b-a41e-e78d47d6fefe
Berti, Emanuele
c4bfcf9d-f2a6-44ec-908e-bac3ed5f95b2
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7

Cheung, Mark Ho-yeuk, Destounis, Kyriakos, Macedo, Rodrigo Panosso, Berti, Emanuele and Cardoso, Vitor (2022) Destabilizing the fundamental mode of black holes: the elephant and the flea. Physical Review Letters, 128 (11), [111103]. (doi:10.1103/PhysRevLett.128.111103).

Record type: Article

Abstract

Recent work applying the notion of pseudospectrum to gravitational physics showed that the quasinormal mode spectrum of black holes is unstable, with the possible exception of the longest-lived (fundamental) mode. The fundamental mode dominates the expected signal in gravitational wave astronomy, and there is no reason why it should have privileged status. We compute the quasinormal mode spectrum of two model problems where the Schwarzschild potential is perturbed by a small "bump"consisting of either a Pöschl-Teller potential or a Gaussian, and we show that the fundamental mode is destabilized under generic perturbations. We present phase diagrams and study a simple double-barrier toy problem to clarify the conditions under which the spectral instability occurs.

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Accepted/In Press date: 23 February 2022
Published date: 18 March 2022

Identifiers

Local EPrints ID: 456583
URI: http://eprints.soton.ac.uk/id/eprint/456583
ISSN: 0031-9007
PURE UUID: 2d3a91e8-d488-4257-9c0d-1c38a517b2ca
ORCID for Rodrigo Panosso Macedo: ORCID iD orcid.org/0000-0003-2942-5080

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Date deposited: 05 May 2022 16:39
Last modified: 29 Jun 2022 02:07

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Contributors

Author: Mark Ho-yeuk Cheung
Author: Kyriakos Destounis
Author: Emanuele Berti
Author: Vitor Cardoso

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