Quadratic quasi-normal mode dependence on linear mode parity
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arXiv
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| Main Authors: | , , , , , |
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866910809329762304 |
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| author | Bourg, Patrick Macedo, Rodrigo Panosso Spiers, Andrew Leather, Benjamin Bonga, Béatrice Pound, Adam |
| author_facet | Bourg, Patrick Macedo, Rodrigo Panosso Spiers, Andrew Leather, Benjamin Bonga, Béatrice Pound, Adam |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2405_10270 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quadratic quasi-normal mode dependence on linear mode parity Bourg, Patrick Macedo, Rodrigo Panosso Spiers, Andrew Leather, Benjamin Bonga, Béatrice Pound, Adam General Relativity and Quantum Cosmology 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. |
| title | Quadratic quasi-normal mode dependence on linear mode parity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2405.10270 |