Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866916520290942976 |
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| author | Bucciotti, Bruno Juliano, Leonardo Kuntz, Adrien Trincherini, Enrico |
| author_facet | Bucciotti, Bruno Juliano, Leonardo Kuntz, Adrien Trincherini, Enrico |
| contents | Quadratic quasi-normal modes, 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 $\mathcal{R}\simeq0.154e^{-0.068i}$ for the most excited $\ell=4$ mode, matching results from Numerical Relativity. We also predict new low-frequency $\ell=2$ quadratic modes. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_06012 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole Bucciotti, Bruno Juliano, Leonardo Kuntz, Adrien Trincherini, Enrico General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena High Energy Physics - Theory Quadratic quasi-normal modes, 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 $\mathcal{R}\simeq0.154e^{-0.068i}$ for the most excited $\ell=4$ mode, matching results from Numerical Relativity. We also predict new low-frequency $\ell=2$ quadratic modes. |
| title | Quadratic Quasi-Normal Modes of a Schwarzschild Black Hole |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2405.06012 |