Quadratic quasinormal mode dependence on linear mode parity
Quadratic quasinormal mode dependence on linear mode parity
Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of second-perturbative-order, quadratic QNMs (QQNMs) arising from the nonlinear coupling of linear QNMs. Previous attempts to quantify the magnitude of these QQNMs have shown discrepant results. Using a new hyperboloidal framework, we resolve the discrepancy by showing that the QQNM/QNM ratio is a function not only of the black hole parameters but also of the ratio between even- and odd-parity linear QNMs: the ratio QQNM/QNM depends on what created the ringing black hole, but only through this ratio of even- to odd-parity linear perturbations.
Bourg, Patrick G.J.
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Panosso Macedo, Rodrigo
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Spiers, Andrew
12bd715f-b57e-452e-91ad-6de8e3a59c3c
Leather, Benjamin
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Bonga, Beatrice
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Pound, Adam
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14 February 2025
Bourg, Patrick G.J.
e25204ac-2240-4ed6-9a38-8bacff3f902f
Panosso Macedo, Rodrigo
9abb6bca-fc8d-4038-bc79-225d0bae4c00
Spiers, Andrew
12bd715f-b57e-452e-91ad-6de8e3a59c3c
Leather, Benjamin
bde8560b-438d-44c8-b51a-9b30736323d2
Bonga, Beatrice
68d9db47-0779-499d-a58f-54b4facfb6cc
Pound, Adam
5aac971a-0e07-4383-aff0-a21d43103a70
Bourg, Patrick G.J., Panosso Macedo, Rodrigo, Spiers, Andrew, Leather, Benjamin, Bonga, Beatrice and Pound, Adam
(2025)
Quadratic quasinormal mode dependence on linear mode parity.
Physical Review Letters, 134 (6), [061401].
(doi:10.1103/PhysRevLett.134.061401).
Abstract
Quasinormal modes (QNMs) uniquely describe the dominant piece of the gravitational-wave ringdown of postmerger black holes. While the linear QNM regime has been extensively studied, recent work has highlighted the importance of second-perturbative-order, quadratic QNMs (QQNMs) arising from the nonlinear coupling of linear QNMs. Previous attempts to quantify the magnitude of these QQNMs have shown discrepant results. Using a new hyperboloidal framework, we resolve the discrepancy by showing that the QQNM/QNM ratio is a function not only of the black hole parameters but also of the ratio between even- and odd-parity linear QNMs: the ratio QQNM/QNM depends on what created the ringing black hole, but only through this ratio of even- to odd-parity linear perturbations.
Text
QQNMs
- Accepted Manuscript
More information
Accepted/In Press date: 16 January 2025
Published date: 14 February 2025
Identifiers
Local EPrints ID: 498784
URI: http://eprints.soton.ac.uk/id/eprint/498784
ISSN: 1079-7114
PURE UUID: 3881879f-661a-47ca-993f-0f9d35280cec
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Date deposited: 28 Feb 2025 17:33
Last modified: 15 May 2025 01:45
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Contributors
Author:
Patrick G.J. Bourg
Author:
Rodrigo Panosso Macedo
Author:
Andrew Spiers
Author:
Benjamin Leather
Author:
Beatrice Bonga
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