Quasinormal modes and their overtones at the common horizon in a binary black hole merger

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Autorschaft

  • Pierre Mourier
  • Xisco Jiménez Forteza
  • Daniel Pook-Kolb
  • Badri Krishnan
  • Erik Schnetter

Organisationseinheiten

Externe Organisationen

  • Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut)
  • Perimeter Institute for Theoretical Physics
  • University of Waterloo
  • Louisiana State University
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Aufsatznummer044054
FachzeitschriftPhysical Review D
Jahrgang103
Ausgabenummer4
PublikationsstatusVeröffentlicht - 24 Feb. 2021

Abstract

It is expected that all astrophysical black holes in equilibrium are well described by the Kerr solution. Moreover, any black hole far away from equilibrium, such as one initially formed in a compact binary merger or by the collapse of a massive star, will eventually reach a final equilibrium Kerr state. At sufficiently late times in this process of reaching equilibrium, we expect that the black hole is modeled as a perturbation around the final state. The emitted gravitational waves will then be damped sinusoids with frequencies and damping times given by the quasinormal mode spectrum of the final Kerr black hole. An observational test of this scenario, often referred to as black hole spectroscopy, is one of the major goals of gravitational wave astronomy. It was recently suggested that the quasinormal mode description including the higher overtones might hold even right after the remnant black hole is first formed. At these times, the black hole is expected to be highly dynamical and nonlinear effects are likely to be important. In this paper we investigate this remarkable scenario in terms of the horizon dynamics. Working with high accuracy simulations of a simple configuration, namely the head-on collision of two nonspinning black holes with unequal masses, we study the dynamics of the final common horizon in terms of its shear and its multipole moments. We show that they are indeed well described by a superposition of ringdown modes as long as a sufficiently large number of higher overtones are included. This description holds even for the highly dynamical final black hole shortly after its formation. We discuss the implications and caveats of this result for black hole spectroscopy and for our understanding of the approach to equilibrium.

ASJC Scopus Sachgebiete

Zitieren

Quasinormal modes and their overtones at the common horizon in a binary black hole merger. / Mourier, Pierre; Jiménez Forteza, Xisco; Pook-Kolb, Daniel et al.
in: Physical Review D, Jahrgang 103, Nr. 4, 044054, 24.02.2021.

Publikation: Beitrag in FachzeitschriftArtikelForschungPeer-Review

Mourier, P, Jiménez Forteza, X, Pook-Kolb, D, Krishnan, B & Schnetter, E 2021, 'Quasinormal modes and their overtones at the common horizon in a binary black hole merger', Physical Review D, Jg. 103, Nr. 4, 044054. https://doi.org/10.1103/PhysRevD.103.044054
Mourier, P., Jiménez Forteza, X., Pook-Kolb, D., Krishnan, B., & Schnetter, E. (2021). Quasinormal modes and their overtones at the common horizon in a binary black hole merger. Physical Review D, 103(4), Artikel 044054. https://doi.org/10.1103/PhysRevD.103.044054
Mourier P, Jiménez Forteza X, Pook-Kolb D, Krishnan B, Schnetter E. Quasinormal modes and their overtones at the common horizon in a binary black hole merger. Physical Review D. 2021 Feb 24;103(4):044054. doi: 10.1103/PhysRevD.103.044054
Mourier, Pierre ; Jiménez Forteza, Xisco ; Pook-Kolb, Daniel et al. / Quasinormal modes and their overtones at the common horizon in a binary black hole merger. in: Physical Review D. 2021 ; Jahrgang 103, Nr. 4.
Download
@article{645faa806df34f2c811758110e71d39c,
title = "Quasinormal modes and their overtones at the common horizon in a binary black hole merger",
abstract = "It is expected that all astrophysical black holes in equilibrium are well described by the Kerr solution. Moreover, any black hole far away from equilibrium, such as one initially formed in a compact binary merger or by the collapse of a massive star, will eventually reach a final equilibrium Kerr state. At sufficiently late times in this process of reaching equilibrium, we expect that the black hole is modeled as a perturbation around the final state. The emitted gravitational waves will then be damped sinusoids with frequencies and damping times given by the quasinormal mode spectrum of the final Kerr black hole. An observational test of this scenario, often referred to as black hole spectroscopy, is one of the major goals of gravitational wave astronomy. It was recently suggested that the quasinormal mode description including the higher overtones might hold even right after the remnant black hole is first formed. At these times, the black hole is expected to be highly dynamical and nonlinear effects are likely to be important. In this paper we investigate this remarkable scenario in terms of the horizon dynamics. Working with high accuracy simulations of a simple configuration, namely the head-on collision of two nonspinning black holes with unequal masses, we study the dynamics of the final common horizon in terms of its shear and its multipole moments. We show that they are indeed well described by a superposition of ringdown modes as long as a sufficiently large number of higher overtones are included. This description holds even for the highly dynamical final black hole shortly after its formation. We discuss the implications and caveats of this result for black hole spectroscopy and for our understanding of the approach to equilibrium.",
author = "Pierre Mourier and {Jim{\'e}nez Forteza}, Xisco and Daniel Pook-Kolb and Badri Krishnan and Erik Schnetter",
note = "Funding Information: We are grateful to Abhay Ashtekar, Ofek Birnholtz, Gregory Cook, Jos{\'e} Luis Jaramillo and Neev Khera for valuable discussions and comments, and to an anonymous referee for helpful comments on the paper. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Industry Canada and by the Province of Ontario through the Ministry of Colleges and Universities.",
year = "2021",
month = feb,
day = "24",
doi = "10.1103/PhysRevD.103.044054",
language = "English",
volume = "103",
journal = "Physical Review D",
issn = "2470-0010",
publisher = "American Institute of Physics",
number = "4",

}

Download

TY - JOUR

T1 - Quasinormal modes and their overtones at the common horizon in a binary black hole merger

AU - Mourier, Pierre

AU - Jiménez Forteza, Xisco

AU - Pook-Kolb, Daniel

AU - Krishnan, Badri

AU - Schnetter, Erik

N1 - Funding Information: We are grateful to Abhay Ashtekar, Ofek Birnholtz, Gregory Cook, José Luis Jaramillo and Neev Khera for valuable discussions and comments, and to an anonymous referee for helpful comments on the paper. Research at Perimeter Institute is supported in part by the Government of Canada through the Department of Innovation, Science and Industry Canada and by the Province of Ontario through the Ministry of Colleges and Universities.

PY - 2021/2/24

Y1 - 2021/2/24

N2 - It is expected that all astrophysical black holes in equilibrium are well described by the Kerr solution. Moreover, any black hole far away from equilibrium, such as one initially formed in a compact binary merger or by the collapse of a massive star, will eventually reach a final equilibrium Kerr state. At sufficiently late times in this process of reaching equilibrium, we expect that the black hole is modeled as a perturbation around the final state. The emitted gravitational waves will then be damped sinusoids with frequencies and damping times given by the quasinormal mode spectrum of the final Kerr black hole. An observational test of this scenario, often referred to as black hole spectroscopy, is one of the major goals of gravitational wave astronomy. It was recently suggested that the quasinormal mode description including the higher overtones might hold even right after the remnant black hole is first formed. At these times, the black hole is expected to be highly dynamical and nonlinear effects are likely to be important. In this paper we investigate this remarkable scenario in terms of the horizon dynamics. Working with high accuracy simulations of a simple configuration, namely the head-on collision of two nonspinning black holes with unequal masses, we study the dynamics of the final common horizon in terms of its shear and its multipole moments. We show that they are indeed well described by a superposition of ringdown modes as long as a sufficiently large number of higher overtones are included. This description holds even for the highly dynamical final black hole shortly after its formation. We discuss the implications and caveats of this result for black hole spectroscopy and for our understanding of the approach to equilibrium.

AB - It is expected that all astrophysical black holes in equilibrium are well described by the Kerr solution. Moreover, any black hole far away from equilibrium, such as one initially formed in a compact binary merger or by the collapse of a massive star, will eventually reach a final equilibrium Kerr state. At sufficiently late times in this process of reaching equilibrium, we expect that the black hole is modeled as a perturbation around the final state. The emitted gravitational waves will then be damped sinusoids with frequencies and damping times given by the quasinormal mode spectrum of the final Kerr black hole. An observational test of this scenario, often referred to as black hole spectroscopy, is one of the major goals of gravitational wave astronomy. It was recently suggested that the quasinormal mode description including the higher overtones might hold even right after the remnant black hole is first formed. At these times, the black hole is expected to be highly dynamical and nonlinear effects are likely to be important. In this paper we investigate this remarkable scenario in terms of the horizon dynamics. Working with high accuracy simulations of a simple configuration, namely the head-on collision of two nonspinning black holes with unequal masses, we study the dynamics of the final common horizon in terms of its shear and its multipole moments. We show that they are indeed well described by a superposition of ringdown modes as long as a sufficiently large number of higher overtones are included. This description holds even for the highly dynamical final black hole shortly after its formation. We discuss the implications and caveats of this result for black hole spectroscopy and for our understanding of the approach to equilibrium.

UR - http://www.scopus.com/inward/record.url?scp=85102068208&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.103.044054

DO - 10.1103/PhysRevD.103.044054

M3 - Article

AN - SCOPUS:85102068208

VL - 103

JO - Physical Review D

JF - Physical Review D

SN - 2470-0010

IS - 4

M1 - 044054

ER -