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Quasinormal-mode filters: A new approach to analyze the gravitational-wave ringdown of binary black-hole mergers

Ma, Sizheng and Mitman, Keefe and Sun, Ling and Deppe, Nils and Hébert, François and Kidder, Lawrence E. and Moxon, Jordan and Throwe, William and Vu, Nils L. and Chen, Yanbei (2022) Quasinormal-mode filters: A new approach to analyze the gravitational-wave ringdown of binary black-hole mergers. Physical Review D, 106 (8). Art. No. 084036. ISSN 2470-0010. doi:10.1103/physrevd.106.084036.

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We propose two frequency-domain filters to analyze ringdown signals of binary black hole mergers. The first rational filter is constructed based on a set of (arbitrary) quasinormal modes (QNMs) of the remnant black holes, whereas the second full filter comes from the transmissivity of the remnant black holes. The two filters can remove corresponding QNMs from original time-domain ringdowns, while changing early inspiral signals in a trivial way—merely a time and phase shift. After filtering out dominant QNMs we can visualize the existence of various subdominant effects. For example, by applying our filters to a GW150914-like numerical relativity (NR) waveform, we find second-order effects in the (l = 4, m = 4), (l = 5, m = 4), and (l = 5, m = 5) harmonics; the spherical-spheroidal mixing mode in the (l = 2, m = 2) harmonic; and a mixing mode in the (l = 2, m = 1) harmonic due to a gravitational recoil. In another NR simulation where two component spins are antialigned with the orbital angular momentum we also find retrograde modes. The filters are sensitive to the remnant properties (i.e., mass and spin) and thus have a potential application to future data analyses and parameter estimations. We also investigate the stability of the full filter. Its connection to the instability of QNM spectra is discussed.

Item Type:Article
Related URLs:
URLURL TypeDescription
Ma, Sizheng0000-0002-4645-453X
Mitman, Keefe0000-0003-0276-3856
Sun, Ling0000-0001-7959-892X
Deppe, Nils0000-0003-4557-4115
Hébert, François0000-0001-9009-6955
Kidder, Lawrence E.0000-0001-5392-7342
Moxon, Jordan0000-0001-9891-8677
Throwe, William0000-0001-5059-4378
Vu, Nils L.0000-0002-5767-3949
Chen, Yanbei0000-0002-9730-9463
Additional Information:This work makes use of the Black Hole Perturbation Toolkit. We thank Mark Ho-Yeuk Cheung and Emanuele Berti for sharing their results about second-order effects. We thank Maximiliano Isi, Macarena Lagos, Leo C. Stein, Lam Hui, and Saul Teukolsky for productive discussions. We also thank useful discussions with all the attendees at the CCA ringdown workshop. Finally, we are grateful to the anonymous referee(s) for suggesting the name “quasinormal-mode filter”. This work was supported in part by the Brinson Foundation, the Simons Foundation (Grant No. 568762), the Sherman Fairchild Foundation and by NSF Grants No. PHY-2011961, No. PHY-2011968, and No. OAC-1931266 at Caltech, as well as NSF Grants No. PHY-1912081 and No. OAC-1931280 at Cornell. L. S. acknowledges the support of the Australian Research Council Centre of Excellence for Gravitational Wave Discovery (OzGrav), Project No. CE170100004.
Funding AgencyGrant Number
Brinson FoundationUNSPECIFIED
Simons Foundation568762
Sherman Fairchild FoundationUNSPECIFIED
Australian Research CouncilCE170100004
Issue or Number:8
Record Number:CaltechAUTHORS:20221202-906480600.5
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:118209
Deposited By: Research Services Depository
Deposited On:04 Jan 2023 17:29
Last Modified:04 Jan 2023 17:29

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