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arXiv · 2308.15886

Non-linear Black Hole Ringdowns: an Analytical Approach

Davide Perrone·Thomas Barreira·Alex Kehagias·Antonio Riotto
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Abstract

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.

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Davide Perrone, Thomas Barreira, Alex Kehagias, Antonio Riotto. 2024-04-08. Non-linear Black Hole Ringdowns: an Analytical Approach. https://doi.org/10.1016/j.nuclphysb.2023.116432

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