Nonlinear Ringdown at the Black Hole Horizon

Research output: Contribution to journal › Article › Research › peer review

Authors

  • Neev Khera
  • Ariadna Ribes Metidieri
  • Béatrice Bonga
  • Xisco Jiménez Forteza
  • Badri Krishnan
  • Eric Poisson
  • Daniel Pook-Kolb
  • Erik Schnetter
  • Huan Yang

Research Organisations

External Research Organisations

  • Perimeter Institute for Theoretical Physics
  • National Institute for Subatomic Physics (Nikhef)
  • Radboud University Nijmegen (RU)
  • University of Guelph
  • University of Waterloo
  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
  • Utrecht University
  • Louisiana State University
View graph of relations

Details

Original languageEnglish
Article number231401
Number of pages7
JournalPhysical review letters
Volume131
Issue number23
Publication statusPublished - 6 Dec 2023

Abstract

The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate these frequencies. Recently, it was shown that second-order effects are necessary in binary black hole merger simulations to model the gravitational-wave signal observed by a distant observer. Here, we show that the horizon of a newly formed black hole after the head-on collision of two black holes also shows evidence of nonlinear modes. Specifically, we identify one quadratic mode for the l=2 shear data, and two quadratic ones for the l=4, 6 data in simulations with varying mass ratio and boost parameter. The quadratic mode amplitudes display a quadratic relationship with the amplitudes of the linear modes that generate them.

ASJC Scopus subject areas

Cite this

Nonlinear Ringdown at the Black Hole Horizon. / Khera, Neev; Ribes Metidieri, Ariadna; Bonga, Béatrice et al.
In: Physical review letters, Vol. 131, No. 23, 231401, 06.12.2023.

Research output: Contribution to journal › Article › Research › peer review

Khera, N, Ribes Metidieri, A, Bonga, B, Jiménez Forteza, X, Krishnan, B, Poisson, E, Pook-Kolb, D, Schnetter, E & Yang, H 2023, 'Nonlinear Ringdown at the Black Hole Horizon', Physical review letters, vol. 131, no. 23, 231401. https://doi.org/10.1103/PhysRevLett.131.231401
Khera, N., Ribes Metidieri, A., Bonga, B., Jiménez Forteza, X., Krishnan, B., Poisson, E., Pook-Kolb, D., Schnetter, E., & Yang, H. (2023). Nonlinear Ringdown at the Black Hole Horizon. Physical review letters, 131(23), Article 231401. https://doi.org/10.1103/PhysRevLett.131.231401
Khera N, Ribes Metidieri A, Bonga B, Jiménez Forteza X, Krishnan B, Poisson E et al. Nonlinear Ringdown at the Black Hole Horizon. Physical review letters. 2023 Dec 6;131(23):231401. doi: 10.1103/PhysRevLett.131.231401
Khera, Neev ; Ribes Metidieri, Ariadna ; Bonga, Béatrice et al. / Nonlinear Ringdown at the Black Hole Horizon. In: Physical review letters. 2023 ; Vol. 131, No. 23.
Download
@article{c2b17d61dae84bb990ba707f99778837,
title = "Nonlinear Ringdown at the Black Hole Horizon",
abstract = "The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate these frequencies. Recently, it was shown that second-order effects are necessary in binary black hole merger simulations to model the gravitational-wave signal observed by a distant observer. Here, we show that the horizon of a newly formed black hole after the head-on collision of two black holes also shows evidence of nonlinear modes. Specifically, we identify one quadratic mode for the l=2 shear data, and two quadratic ones for the l=4, 6 data in simulations with varying mass ratio and boost parameter. The quadratic mode amplitudes display a quadratic relationship with the amplitudes of the linear modes that generate them.",
author = "Neev Khera and {Ribes Metidieri}, Ariadna and B{\'e}atrice Bonga and {Jim{\'e}nez Forteza}, Xisco and Badri Krishnan and Eric Poisson and Daniel Pook-Kolb and Erik Schnetter and Huan Yang",
note = "Funding Information: The authors are grateful to Mark Ho-Yeuk Cheung, Thomas Helfer, and Emanuele Berti for useful discussions on the GRChombo head-on data, and to Gregorio Carullo for his useful comments on the manuscript. N. K., E. P., and H. Y. are supported by the Natural Science and Engineering Council of Canada. E. S. and H. Y. are supported by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities.",
year = "2023",
month = dec,
day = "6",
doi = "10.1103/PhysRevLett.131.231401",
language = "English",
volume = "131",
journal = "Physical review letters",
issn = "0031-9007",
publisher = "American Physical Society",
number = "23",

}

Download

TY - JOUR

T1 - Nonlinear Ringdown at the Black Hole Horizon

AU - Khera, Neev

AU - Ribes Metidieri, Ariadna

AU - Bonga, Béatrice

AU - Jiménez Forteza, Xisco

AU - Krishnan, Badri

AU - Poisson, Eric

AU - Pook-Kolb, Daniel

AU - Schnetter, Erik

AU - Yang, Huan

N1 - Funding Information: The authors are grateful to Mark Ho-Yeuk Cheung, Thomas Helfer, and Emanuele Berti for useful discussions on the GRChombo head-on data, and to Gregorio Carullo for his useful comments on the manuscript. N. K., E. P., and H. Y. are supported by the Natural Science and Engineering Council of Canada. E. S. and H. Y. are supported by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Colleges and Universities.

PY - 2023/12/6

Y1 - 2023/12/6

N2 - The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate these frequencies. Recently, it was shown that second-order effects are necessary in binary black hole merger simulations to model the gravitational-wave signal observed by a distant observer. Here, we show that the horizon of a newly formed black hole after the head-on collision of two black holes also shows evidence of nonlinear modes. Specifically, we identify one quadratic mode for the l=2 shear data, and two quadratic ones for the l=4, 6 data in simulations with varying mass ratio and boost parameter. The quadratic mode amplitudes display a quadratic relationship with the amplitudes of the linear modes that generate them.

AB - The gravitational waves emitted by a perturbed black hole ringing down are well described by damped sinusoids, whose frequencies are those of quasinormal modes. Typically, first-order black hole perturbation theory is used to calculate these frequencies. Recently, it was shown that second-order effects are necessary in binary black hole merger simulations to model the gravitational-wave signal observed by a distant observer. Here, we show that the horizon of a newly formed black hole after the head-on collision of two black holes also shows evidence of nonlinear modes. Specifically, we identify one quadratic mode for the l=2 shear data, and two quadratic ones for the l=4, 6 data in simulations with varying mass ratio and boost parameter. The quadratic mode amplitudes display a quadratic relationship with the amplitudes of the linear modes that generate them.

UR - http://www.scopus.com/inward/record.url?scp=85179552653&partnerID=8YFLogxK

U2 - 10.1103/PhysRevLett.131.231401

DO - 10.1103/PhysRevLett.131.231401

M3 - Article

AN - SCOPUS:85179552653

VL - 131

JO - Physical review letters

JF - Physical review letters

SN - 0031-9007

IS - 23

M1 - 231401

ER -