Multimode Quasinormal Spectrum from a Perturbed Black Hole

Research output: Contribution to journalArticleResearchpeer review

Authors

  • Collin D. Capano
  • Miriam Cabero
  • Julian Westerweck
  • Jahed Abedi
  • Shilpa Kastha
  • Alexander H. Nitz
  • Yi Fan Wang
  • Alex B. Nielsen
  • Badri Krishnan

Research Organisations

External Research Organisations

  • Max Planck Institute for Gravitational Physics (Albert Einstein Institute)
  • University of Massachusetts Dartmouth
  • University of British Columbia
  • University of Stavanger
  • University of Copenhagen
  • Radboud University Nijmegen (RU)
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Details

Original languageEnglish
Article number221402
Number of pages7
JournalPhysical review letters
Volume131
Issue number22
Publication statusPublished - 28 Nov 2023

Abstract

When two black holes merge, the late stage of gravitational wave emission is a superposition of exponentially damped sinusoids. According to the black hole no-hair theorem, this ringdown spectrum depends only on the mass and angular momentum of the final black hole. An observation of more than one ringdown mode can test this fundamental prediction of general relativity. Here, we provide strong observational evidence for a multimode black hole ringdown spectrum using the gravitational wave event GW190521, with a maximum Bayes factor of 56±1 (1σ uncertainty) preferring two fundamental modes over one. The dominant mode is the m=2 harmonic, and the subdominant mode corresponds to the m=3 harmonic. The amplitude of this mode relative to the dominant harmonic is estimated to be A330/A220=0.2-0.1+0.2. We estimate the redshifted mass and dimensionless spin of the final black hole as 330-40+30M and 0.86-0.11+0.06, respectively. We find that the final black hole is consistent with the no-hair theorem and constrain the fractional deviation from general relativity of the subdominant mode's frequency to be -0.01-0.09+0.08.

ASJC Scopus subject areas

Cite this

Multimode Quasinormal Spectrum from a Perturbed Black Hole. / Capano, Collin D.; Cabero, Miriam; Westerweck, Julian et al.
In: Physical review letters, Vol. 131, No. 22, 221402, 28.11.2023.

Research output: Contribution to journalArticleResearchpeer review

Capano, CD, Cabero, M, Westerweck, J, Abedi, J, Kastha, S, Nitz, AH, Wang, YF, Nielsen, AB & Krishnan, B 2023, 'Multimode Quasinormal Spectrum from a Perturbed Black Hole', Physical review letters, vol. 131, no. 22, 221402. https://doi.org/10.1103/PhysRevLett.131.221402
Capano, C. D., Cabero, M., Westerweck, J., Abedi, J., Kastha, S., Nitz, A. H., Wang, Y. F., Nielsen, A. B., & Krishnan, B. (2023). Multimode Quasinormal Spectrum from a Perturbed Black Hole. Physical review letters, 131(22), Article 221402. https://doi.org/10.1103/PhysRevLett.131.221402
Capano CD, Cabero M, Westerweck J, Abedi J, Kastha S, Nitz AH et al. Multimode Quasinormal Spectrum from a Perturbed Black Hole. Physical review letters. 2023 Nov 28;131(22):221402. doi: 10.1103/PhysRevLett.131.221402
Capano, Collin D. ; Cabero, Miriam ; Westerweck, Julian et al. / Multimode Quasinormal Spectrum from a Perturbed Black Hole. In: Physical review letters. 2023 ; Vol. 131, No. 22.
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title = "Multimode Quasinormal Spectrum from a Perturbed Black Hole",
abstract = "When two black holes merge, the late stage of gravitational wave emission is a superposition of exponentially damped sinusoids. According to the black hole no-hair theorem, this ringdown spectrum depends only on the mass and angular momentum of the final black hole. An observation of more than one ringdown mode can test this fundamental prediction of general relativity. Here, we provide strong observational evidence for a multimode black hole ringdown spectrum using the gravitational wave event GW190521, with a maximum Bayes factor of 56±1 (1σ uncertainty) preferring two fundamental modes over one. The dominant mode is the m=2 harmonic, and the subdominant mode corresponds to the m=3 harmonic. The amplitude of this mode relative to the dominant harmonic is estimated to be A330/A220=0.2-0.1+0.2. We estimate the redshifted mass and dimensionless spin of the final black hole as 330-40+30M and 0.86-0.11+0.06, respectively. We find that the final black hole is consistent with the no-hair theorem and constrain the fractional deviation from general relativity of the subdominant mode's frequency to be -0.01-0.09+0.08.",
author = "Capano, {Collin D.} and Miriam Cabero and Julian Westerweck and Jahed Abedi and Shilpa Kastha and Nitz, {Alexander H.} and Wang, {Yi Fan} and Nielsen, {Alex B.} and Badri Krishnan",
note = "Funding Information: The authors thank Ofek Birnholtz, Jose Luis Jaramillo, Reinhard Prix, Bruce Allen, Evan Goetz, Saul Teukolsky, Maximiliano Isi, Juan Calder{\'o}n-Bustillo, Abhay Ashtekar, and Bangalore Sathyaprakash for useful discussions and Xisco Jim{\'e}nez Forteza for a careful reading of this manuscript. We thank also the Atlas Computational Cluster team at the Albert Einstein Institute in Hanover for assistance. M. C. acknowledges funding from the Natural Sciences and Engineering Research Council of Canada (NSERC). This research has made use of data obtained from the Gravitational Wave Open Science Center , a service of LIGO Laboratory, the LIGO Scientific Collaboration and the Virgo Collaboration. LIGO Laboratory and Advanced LIGO are funded by the United States National Science Foundation (NSF) who also gratefully acknowledge the Science and Technology Facilities Council (STFC) of the United Kingdom, the Max-Planck-Society (MPS), and the State of Niedersachsen/Germany for support of the construction of Advanced LIGO and construction and operation of the GEO600 detector. Additional support for Advanced LIGO was provided by the Australian Research Council. Virgo is funded, through the European Gravitational Observatory (EGO), by the French Centre National de Recherche Scientifique (CNRS), the Italian Istituto Nazionale di Fisica Nucleare (INFN) and the Dutch Nikhef, with contributions by institutions from Belgium, Germany, Greece, Hungary, Ireland, Japan, Monaco, Poland, Portugal, and Spain. ",
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AU - Capano, Collin D.

AU - Cabero, Miriam

AU - Westerweck, Julian

AU - Abedi, Jahed

AU - Kastha, Shilpa

AU - Nitz, Alexander H.

AU - Wang, Yi Fan

AU - Nielsen, Alex B.

AU - Krishnan, Badri

N1 - Funding Information: The authors thank Ofek Birnholtz, Jose Luis Jaramillo, Reinhard Prix, Bruce Allen, Evan Goetz, Saul Teukolsky, Maximiliano Isi, Juan Calderón-Bustillo, Abhay Ashtekar, and Bangalore Sathyaprakash for useful discussions and Xisco Jiménez Forteza for a careful reading of this manuscript. We thank also the Atlas Computational Cluster team at the Albert Einstein Institute in Hanover for assistance. M. C. acknowledges funding from the Natural Sciences and Engineering Research Council of Canada (NSERC). This research has made use of data obtained from the Gravitational Wave Open Science Center , a service of LIGO Laboratory, the LIGO Scientific Collaboration and the Virgo Collaboration. LIGO Laboratory and Advanced LIGO are funded by the United States National Science Foundation (NSF) who also gratefully acknowledge the Science and Technology Facilities Council (STFC) of the United Kingdom, the Max-Planck-Society (MPS), and the State of Niedersachsen/Germany for support of the construction of Advanced LIGO and construction and operation of the GEO600 detector. Additional support for Advanced LIGO was provided by the Australian Research Council. Virgo is funded, through the European Gravitational Observatory (EGO), by the French Centre National de Recherche Scientifique (CNRS), the Italian Istituto Nazionale di Fisica Nucleare (INFN) and the Dutch Nikhef, with contributions by institutions from Belgium, Germany, Greece, Hungary, Ireland, Japan, Monaco, Poland, Portugal, and Spain.

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N2 - When two black holes merge, the late stage of gravitational wave emission is a superposition of exponentially damped sinusoids. According to the black hole no-hair theorem, this ringdown spectrum depends only on the mass and angular momentum of the final black hole. An observation of more than one ringdown mode can test this fundamental prediction of general relativity. Here, we provide strong observational evidence for a multimode black hole ringdown spectrum using the gravitational wave event GW190521, with a maximum Bayes factor of 56±1 (1σ uncertainty) preferring two fundamental modes over one. The dominant mode is the m=2 harmonic, and the subdominant mode corresponds to the m=3 harmonic. The amplitude of this mode relative to the dominant harmonic is estimated to be A330/A220=0.2-0.1+0.2. We estimate the redshifted mass and dimensionless spin of the final black hole as 330-40+30M and 0.86-0.11+0.06, respectively. We find that the final black hole is consistent with the no-hair theorem and constrain the fractional deviation from general relativity of the subdominant mode's frequency to be -0.01-0.09+0.08.

AB - When two black holes merge, the late stage of gravitational wave emission is a superposition of exponentially damped sinusoids. According to the black hole no-hair theorem, this ringdown spectrum depends only on the mass and angular momentum of the final black hole. An observation of more than one ringdown mode can test this fundamental prediction of general relativity. Here, we provide strong observational evidence for a multimode black hole ringdown spectrum using the gravitational wave event GW190521, with a maximum Bayes factor of 56±1 (1σ uncertainty) preferring two fundamental modes over one. The dominant mode is the m=2 harmonic, and the subdominant mode corresponds to the m=3 harmonic. The amplitude of this mode relative to the dominant harmonic is estimated to be A330/A220=0.2-0.1+0.2. We estimate the redshifted mass and dimensionless spin of the final black hole as 330-40+30M and 0.86-0.11+0.06, respectively. We find that the final black hole is consistent with the no-hair theorem and constrain the fractional deviation from general relativity of the subdominant mode's frequency to be -0.01-0.09+0.08.

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