Quadratic quasinormal modes of a Schwarzschild black hole
Quadratic quasinormal mode, generated at second order in black hole perturbation theory, are a promising target for testing gravity in the nonlinear regime with next-generation gravitational wave detectors. While their frequencies have long been known, their amplitudes remain poorly studied. We introduce regular variables and compute amplitudes for Schwarzschild black holes with the Leaver algorithm. We find a nonlinear ratio $\mathcal{R}\ensuremath{\simeq}0.154{e}^{\ensuremath{-}0.068i}$ for the most excited $\ensuremath{\ell}=4$ mode, matching results from numerical relativity. We also predict new low-frequency $\ensuremath{\ell}=2$ quadratic modes.
Authors
- Enrico Trincherini (ORCID: https://orcid.org/0000-0001-5025-0292)
- Adrien Kuntz (ORCID: https://orcid.org/0000-0002-4803-2998)
- Bruno Bucciotti (ORCID: https://orcid.org/0009-0007-4591-7217)
- Leonardo Juliano
Institutions
- Scuola Internazionale Superiore di Studi Avanzati (IT)
- University of Trieste (IT)
- Scuola Normale Superiore (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Trieste (IT)
- Institute for Fundamental Physics of the Universe (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Pisa (IT)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-11-18
- DOI
- https://doi.org/10.1103/physrevd.110.104048
- Citations
- 18
- Primary Topic
- Pulsars and Gravitational Waves Research
- Type
- article
- Field-Weighted Citation Impact
- 5.97
Funders
- Horizon 2020 Framework Programme
- H2020 European Research Council
- H2020 Marie Skłodowska-Curie Actions