Imprints of Changing Mass and Spin on Black Hole Ringdown

Fuente: arXiv
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Autori principali: Zhu, Hengrui, Pretorius, Frans, Ma, Sizheng, Owen, Robert, Chen, Yitian, Deppe, Nils, Kidder, Lawrence E., Okounkova, Maria, Pfeiffer, Harald P., Scheel, Mark A., Stein, Leo C.
Natura: Preprint
Pubblicazione: 2024
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author Zhu, Hengrui
Pretorius, Frans
Ma, Sizheng
Owen, Robert
Chen, Yitian
Deppe, Nils
Kidder, Lawrence E.
Okounkova, Maria
Pfeiffer, Harald P.
Scheel, Mark A.
Stein, Leo C.
author_facet Zhu, Hengrui
Pretorius, Frans
Ma, Sizheng
Owen, Robert
Chen, Yitian
Deppe, Nils
Kidder, Lawrence E.
Okounkova, Maria
Pfeiffer, Harald P.
Scheel, Mark A.
Stein, Leo C.
contents We numerically investigate the imprints of gravitational radiation-reaction driven changes to a black hole's mass and spin on the corresponding ringdown waveform. We do so by comparing the dynamics of a perturbed black hole evolved with the full (nonlinear) versus linearized Einstein equations. As expected, we find that the quasinormal mode amplitudes extracted from nonlinear evolution deviate from their linear counterparts at third order in initial perturbation amplitude. For perturbations leading to a change in the black hole mass and spin of $\sim 5\%$, which is reasonable for a remnant formed in an astrophysical merger, we find that nonlinear distortions to the complex amplitudes of some quasinormal modes can be as large as $\sim 50\%$ at the peak of the waveform. Furthermore, the change in the mass and spin results in a drift in the quasinormal mode frequencies, which for large amplitude perturbations causes the nonlinear waveform to rapidly dephase with respect to its linear counterpart. %These two nonlinear effects together create a large distortion in both the amplitude and phase of the ringdown gravitational waveform. Surprisingly, despite these nonlinear effects creating significant deviations in the nonlinear waveform, we show that a linear quasinormal mode model still performs quite well from close to the peak amplitude onwards.
format Preprint
id arxiv_https___arxiv_org_abs_2404_12424
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Imprints of Changing Mass and Spin on Black Hole Ringdown
Zhu, Hengrui
Pretorius, Frans
Ma, Sizheng
Owen, Robert
Chen, Yitian
Deppe, Nils
Kidder, Lawrence E.
Okounkova, Maria
Pfeiffer, Harald P.
Scheel, Mark A.
Stein, Leo C.
General Relativity and Quantum Cosmology
We numerically investigate the imprints of gravitational radiation-reaction driven changes to a black hole's mass and spin on the corresponding ringdown waveform. We do so by comparing the dynamics of a perturbed black hole evolved with the full (nonlinear) versus linearized Einstein equations. As expected, we find that the quasinormal mode amplitudes extracted from nonlinear evolution deviate from their linear counterparts at third order in initial perturbation amplitude. For perturbations leading to a change in the black hole mass and spin of $\sim 5\%$, which is reasonable for a remnant formed in an astrophysical merger, we find that nonlinear distortions to the complex amplitudes of some quasinormal modes can be as large as $\sim 50\%$ at the peak of the waveform. Furthermore, the change in the mass and spin results in a drift in the quasinormal mode frequencies, which for large amplitude perturbations causes the nonlinear waveform to rapidly dephase with respect to its linear counterpart. %These two nonlinear effects together create a large distortion in both the amplitude and phase of the ringdown gravitational waveform. Surprisingly, despite these nonlinear effects creating significant deviations in the nonlinear waveform, we show that a linear quasinormal mode model still performs quite well from close to the peak amplitude onwards.
title Imprints of Changing Mass and Spin on Black Hole Ringdown
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2404.12424