Non-linear Black Hole Ringdowns: an Analytical Approach

Fuente: arXiv
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Autori principali: Perrone, Davide, Barreira, Thomas, Kehagias, Alex, Riotto, Antonio
Natura: Preprint
Pubblicazione: 2023
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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