Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866918080226000896 |
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| author | Perrone, D. Kehagias, A. Riotto, A. |
| author_facet | Perrone, D. Kehagias, A. Riotto, A. |
| contents | We provide a fully analytical approach to calculate the nonlinearities of the gravitational waves in the ringdown of a Kerr black hole in the eikonal limit. The corresponding quasi-normal modes are associated to the orbits of a closed circular null geodesic and the problem can be analyzed by taking the Penrose limit around it. We calculate analytically the amplitude and the phase of the quadratic quasi-normal modes as well as its dependence on the black hole spin. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_01919 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit Perrone, D. Kehagias, A. Riotto, A. General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory We provide a fully analytical approach to calculate the nonlinearities of the gravitational waves in the ringdown of a Kerr black hole in the eikonal limit. The corresponding quasi-normal modes are associated to the orbits of a closed circular null geodesic and the problem can be analyzed by taking the Penrose limit around it. We calculate analytically the amplitude and the phase of the quadratic quasi-normal modes as well as its dependence on the black hole spin. |
| title | Nonlinearities in Kerr Black Hole Ringdown from the Penrose Limit |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.01919 |