Estimating false alarm rates of sub-dominant quasi-normal modes in GW190521

Research output: Contribution to journalArticleResearchpeer review

Authors

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

Research Organisations

External Research Organisations

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

Original languageEnglish
Article number245009
Number of pages26
JournalClassical and quantum gravity
Volume41
Issue number24
Publication statusPublished - 18 Nov 2024

Abstract

A major aim of gravitational wave astronomy is to test observationally the Kerr nature of black holes. The strongest such test, with minimal additional assumptions, is provided by observations of multiple ringdown modes, also known as black hole spectroscopy. For the gravitational wave merger event GW190521, we have previously claimed the detection of two ringdown modes emitted by the remnant black hole. In this paper we provide further evidence for the detection of multiple ringdown modes from this event. We analyse the recovery of simulated gravitational wave signals designed to replicate the ringdown properties of GW190521. We quantify how often our detection statistic reports strong evidence for a sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) ringdown mode, even when no such mode is present in the simulated signal. We find this only occurs with a probability ∼0.02, which is consistent with a Bayes factor of 56 ± 1 (1σ uncertainty) found for GW190521. We also quantify our agnostic analysis of GW190521, in which no relationship is assumed between ringdown modes, and find that only 1 in 250 simulated signals without a ( 3 , 3 , 0 ) mode yields a result as significant as GW190521. Conversely, we verify that when simulated signals do have an observable ( 3 , 3 , 0 ) mode they consistently yield a strong evidence and significant agnostic results. We also find that constraints on deviations from the ( 3 , 3 , 0 ) mode on GW190521-like signals with a ( 3 , 3 , 0 ) mode are consistent with what was obtained from our previous analysis of GW190521. Our results support our previous conclusion that the gravitational wave signal from GW190521 contains an observable sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) mode.

Keywords

    black holes, general relativity, gravitational waves, quasi-normal modes

ASJC Scopus subject areas

Cite this

Estimating false alarm rates of sub-dominant quasi-normal modes in GW190521. / Capano, Collin D.; Abedi, Jahed; Kastha, Shilpa et al.
In: Classical and quantum gravity, Vol. 41, No. 24, 245009, 18.11.2024.

Research output: Contribution to journalArticleResearchpeer review

Capano, CD, Abedi, J, Kastha, S, Nitz, AH, Westerweck, J, Wang, YF, Cabero, M, Nielsen, AB & Krishnan, B 2024, 'Estimating false alarm rates of sub-dominant quasi-normal modes in GW190521', Classical and quantum gravity, vol. 41, no. 24, 245009. https://doi.org/10.48550/arXiv.2209.00640, https://doi.org/10.1088/1361-6382/ad84ae
Capano, C. D., Abedi, J., Kastha, S., Nitz, A. H., Westerweck, J., Wang, Y. F., Cabero, M., Nielsen, A. B., & Krishnan, B. (2024). Estimating false alarm rates of sub-dominant quasi-normal modes in GW190521. Classical and quantum gravity, 41(24), Article 245009. https://doi.org/10.48550/arXiv.2209.00640, https://doi.org/10.1088/1361-6382/ad84ae
Capano CD, Abedi J, Kastha S, Nitz AH, Westerweck J, Wang YF et al. Estimating false alarm rates of sub-dominant quasi-normal modes in GW190521. Classical and quantum gravity. 2024 Nov 18;41(24):245009. doi: 10.48550/arXiv.2209.00640, 10.1088/1361-6382/ad84ae
Capano, Collin D. ; Abedi, Jahed ; Kastha, Shilpa et al. / Estimating false alarm rates of sub-dominant quasi-normal modes in GW190521. In: Classical and quantum gravity. 2024 ; Vol. 41, No. 24.
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abstract = "A major aim of gravitational wave astronomy is to test observationally the Kerr nature of black holes. The strongest such test, with minimal additional assumptions, is provided by observations of multiple ringdown modes, also known as black hole spectroscopy. For the gravitational wave merger event GW190521, we have previously claimed the detection of two ringdown modes emitted by the remnant black hole. In this paper we provide further evidence for the detection of multiple ringdown modes from this event. We analyse the recovery of simulated gravitational wave signals designed to replicate the ringdown properties of GW190521. We quantify how often our detection statistic reports strong evidence for a sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) ringdown mode, even when no such mode is present in the simulated signal. We find this only occurs with a probability ∼0.02, which is consistent with a Bayes factor of 56 ± 1 (1σ uncertainty) found for GW190521. We also quantify our agnostic analysis of GW190521, in which no relationship is assumed between ringdown modes, and find that only 1 in 250 simulated signals without a ( 3 , 3 , 0 ) mode yields a result as significant as GW190521. Conversely, we verify that when simulated signals do have an observable ( 3 , 3 , 0 ) mode they consistently yield a strong evidence and significant agnostic results. We also find that constraints on deviations from the ( 3 , 3 , 0 ) mode on GW190521-like signals with a ( 3 , 3 , 0 ) mode are consistent with what was obtained from our previous analysis of GW190521. Our results support our previous conclusion that the gravitational wave signal from GW190521 contains an observable sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) mode.",
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T1 - Estimating false alarm rates of sub-dominant quasi-normal modes in GW190521

AU - Capano, Collin D.

AU - Abedi, Jahed

AU - Kastha, Shilpa

AU - Nitz, Alexander H.

AU - Westerweck, Julian

AU - Wang, Yi Fan

AU - Cabero, Miriam

AU - Nielsen, Alex B.

AU - Krishnan, Badri

N1 - Publisher Copyright: © 2024 The Author(s). Published by IOP Publishing Ltd.

PY - 2024/11/18

Y1 - 2024/11/18

N2 - A major aim of gravitational wave astronomy is to test observationally the Kerr nature of black holes. The strongest such test, with minimal additional assumptions, is provided by observations of multiple ringdown modes, also known as black hole spectroscopy. For the gravitational wave merger event GW190521, we have previously claimed the detection of two ringdown modes emitted by the remnant black hole. In this paper we provide further evidence for the detection of multiple ringdown modes from this event. We analyse the recovery of simulated gravitational wave signals designed to replicate the ringdown properties of GW190521. We quantify how often our detection statistic reports strong evidence for a sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) ringdown mode, even when no such mode is present in the simulated signal. We find this only occurs with a probability ∼0.02, which is consistent with a Bayes factor of 56 ± 1 (1σ uncertainty) found for GW190521. We also quantify our agnostic analysis of GW190521, in which no relationship is assumed between ringdown modes, and find that only 1 in 250 simulated signals without a ( 3 , 3 , 0 ) mode yields a result as significant as GW190521. Conversely, we verify that when simulated signals do have an observable ( 3 , 3 , 0 ) mode they consistently yield a strong evidence and significant agnostic results. We also find that constraints on deviations from the ( 3 , 3 , 0 ) mode on GW190521-like signals with a ( 3 , 3 , 0 ) mode are consistent with what was obtained from our previous analysis of GW190521. Our results support our previous conclusion that the gravitational wave signal from GW190521 contains an observable sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) mode.

AB - A major aim of gravitational wave astronomy is to test observationally the Kerr nature of black holes. The strongest such test, with minimal additional assumptions, is provided by observations of multiple ringdown modes, also known as black hole spectroscopy. For the gravitational wave merger event GW190521, we have previously claimed the detection of two ringdown modes emitted by the remnant black hole. In this paper we provide further evidence for the detection of multiple ringdown modes from this event. We analyse the recovery of simulated gravitational wave signals designed to replicate the ringdown properties of GW190521. We quantify how often our detection statistic reports strong evidence for a sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) ringdown mode, even when no such mode is present in the simulated signal. We find this only occurs with a probability ∼0.02, which is consistent with a Bayes factor of 56 ± 1 (1σ uncertainty) found for GW190521. We also quantify our agnostic analysis of GW190521, in which no relationship is assumed between ringdown modes, and find that only 1 in 250 simulated signals without a ( 3 , 3 , 0 ) mode yields a result as significant as GW190521. Conversely, we verify that when simulated signals do have an observable ( 3 , 3 , 0 ) mode they consistently yield a strong evidence and significant agnostic results. We also find that constraints on deviations from the ( 3 , 3 , 0 ) mode on GW190521-like signals with a ( 3 , 3 , 0 ) mode are consistent with what was obtained from our previous analysis of GW190521. Our results support our previous conclusion that the gravitational wave signal from GW190521 contains an observable sub-dominant ( ℓ , m , n ) = ( 3 , 3 , 0 ) mode.

KW - black holes

KW - general relativity

KW - gravitational waves

KW - quasi-normal modes

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U2 - 10.48550/arXiv.2209.00640

DO - 10.48550/arXiv.2209.00640

M3 - Article

AN - SCOPUS:85210088242

VL - 41

JO - Classical and quantum gravity

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