Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit
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| Format: | Preprint |
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2025
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| _version_ | 1866916650850189312 |
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| author | Kehagias, Alex Perrone, Davide Riotto, Antonio |
| author_facet | Kehagias, Alex Perrone, Davide Riotto, Antonio |
| contents | The Penrose limit connects a plane wave geometry to the photon ring of a black hole, where the quasi-normal modes are located in the eikonal limit. Utilizing this simplification, we analytically extract the quadratic-level non-linearities in the quasi-normal modes of a Schwarzschild black hole for the $(\ell\times\ell)\to 2\ell$ channel. We demonstrate that this result is independent of $\ell$ and further confirm it through symmetry arguments. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_09350 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit Kehagias, Alex Perrone, Davide Riotto, Antonio General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology The Penrose limit connects a plane wave geometry to the photon ring of a black hole, where the quasi-normal modes are located in the eikonal limit. Utilizing this simplification, we analytically extract the quadratic-level non-linearities in the quasi-normal modes of a Schwarzschild black hole for the $(\ell\times\ell)\to 2\ell$ channel. We demonstrate that this result is independent of $\ell$ and further confirm it through symmetry arguments. |
| title | Non-linear Quasi-Normal Modes of the Schwarzschild Black Hole from the Penrose Limit |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2503.09350 |