Non-linear Black Hole Ringdowns: an Analytical Approach
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2023
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| _version_ | 1866914742778462208 |
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| author | Perrone, Davide Barreira, Thomas Kehagias, Alex Riotto, Antonio |
| author_facet | Perrone, Davide Barreira, Thomas Kehagias, Alex Riotto, Antonio |
| contents | Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in black hole perturbation theory which takes advantage from the fact that the non-linear sources are peaked around the light ring. As a byproduct, we describe why the amplitude of the second-order mode relative to the square of the first-order amplitude depends only weakly on the initial condition of the problem. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2308_15886 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Non-linear Black Hole Ringdowns: an Analytical Approach Perrone, Davide Barreira, Thomas Kehagias, Alex Riotto, Antonio General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology Due to the nature of gravity, non-linear effects are left imprinted in the quasi-normal modes generated in the ringdown phase of the merger of two black holes. We offer an analytical treatment of the quasi-normal modes at second-order in black hole perturbation theory which takes advantage from the fact that the non-linear sources are peaked around the light ring. As a byproduct, we describe why the amplitude of the second-order mode relative to the square of the first-order amplitude depends only weakly on the initial condition of the problem. |
| title | Non-linear Black Hole Ringdowns: an Analytical Approach |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2308.15886 |