Nonlinearities of Schwarzschild Black Hole Head-on Collisions
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866908502000140288 |
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| author | Kehagias, Alex Perrone, Davide Riotto, Antonio |
| author_facet | Kehagias, Alex Perrone, Davide Riotto, Antonio |
| contents | We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes. Although being a highly nonlinear event, second-order perturbation theory suffices and that nonlinearities may be derived by a simple bootstrapping procedure. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_17993 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinearities of Schwarzschild Black Hole Head-on Collisions Kehagias, Alex Perrone, Davide Riotto, Antonio General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory We derive analytically the amplitude of the quadratic quasi-normal mode generated in the ringdown stage of the gravitational waveform produced by the ultra-relativistic head-on collision of two non-spinning Schwarzschild black holes. Although being a highly nonlinear event, second-order perturbation theory suffices and that nonlinearities may be derived by a simple bootstrapping procedure. |
| title | Nonlinearities of Schwarzschild Black Hole Head-on Collisions |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2508.17993 |