Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866909571843358720 |
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| author | Kehagias, Alex Riotto, Antonio |
| author_facet | Kehagias, Alex Riotto, Antonio |
| contents | Schwarzschild black holes evolve toward their static configuration by emitting gravitational waves, which decay over time following a power law at fixed spatial positions. We derive this power law analytically for the second-order even gravitational perturbations, demonstrating that it is determined by the fact that the second-order source decays as the inverse square of the distance. Quadratic gravitational modes with multipole $\ell$ decay according to a law $\sim t^{-2\ell-1}$, in contrast to the linear Price law scaling $\sim t^{-2\ell-3}$. Consequently, nonlinear tails may persist longer than their linear counterparts. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_06224 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown Kehagias, Alex Riotto, Antonio General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory Schwarzschild black holes evolve toward their static configuration by emitting gravitational waves, which decay over time following a power law at fixed spatial positions. We derive this power law analytically for the second-order even gravitational perturbations, demonstrating that it is determined by the fact that the second-order source decays as the inverse square of the distance. Quadratic gravitational modes with multipole $\ell$ decay according to a law $\sim t^{-2\ell-1}$, in contrast to the linear Price law scaling $\sim t^{-2\ell-3}$. Consequently, nonlinear tails may persist longer than their linear counterparts. |
| title | Nonlinear Tails of Gravitational Waves in Schwarzschild Black Hole Ringdown |
| topic | General Relativity and Quantum Cosmology Cosmology and Nongalactic Astrophysics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.06224 |