High Precision Ringdown Modeling: Multimode Fits and BMS Frames

Quasi-normal mode (QNM) modeling is an invaluable tool for characterizing remnant black holes, studying strong gravity, and testing GR. Only recently have QNM studies begun to focus on multimode fitting to numerical relativity (NR) strain waveforms. As GW observatories become even more sensitive the...

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Hauptverfasser: Lorena Magaña Zertuche, Keefe Mitman, Khera, Neev, Stein, Leo C, Boyle, Michael, Deppe, Nils, Hébert, François, Iozzo, Dante A B, Kidder, Lawrence E, Moxon, Jordan, Pfeiffer, Harald P, Scheel, Mark A, Teukolsky, Saul A, Throwe, William, Vu, Nils
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container_title arXiv.org
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creator Lorena Magaña Zertuche
Keefe Mitman
Khera, Neev
Stein, Leo C
Boyle, Michael
Deppe, Nils
Hébert, François
Iozzo, Dante A B
Kidder, Lawrence E
Moxon, Jordan
Pfeiffer, Harald P
Scheel, Mark A
Teukolsky, Saul A
Throwe, William
Vu, Nils
description Quasi-normal mode (QNM) modeling is an invaluable tool for characterizing remnant black holes, studying strong gravity, and testing GR. Only recently have QNM studies begun to focus on multimode fitting to numerical relativity (NR) strain waveforms. As GW observatories become even more sensitive they will be able to resolve higher-order modes. Consequently, multimode QNM fits will be critically important, and in turn require a more thorough treatment of the asymptotic frame at \(\mathscr{I}^+\). The first main result of this work is a method for systematically fitting a QNM model containing many modes to a numerical waveform produced using Cauchy-characteristic extraction (CCE), an extraction technique which is known to resolve memory effects. We choose the modes to model based on their power contribution to the residual between numerical and model waveforms. We show that the all-mode strain mismatch improves by a factor of \(\sim10^5\) when using multimode fitting as opposed to only fitting the \((2,\pm2,n)\) modes. Our most significant result addresses a critical point that has been overlooked in the QNM literature: the importance of matching the Bondi-van der Burg-Metzner-Sachs (BMS) frame of the numerical waveform to that of the QNM model. We show that by mapping the numerical waveforms\(-\)which exhibit the memory effect\(-\)to a BMS frame known as the super rest frame, there is an improvement of \(\sim10^5\) in the all-mode strain mismatch compared to using a strain waveform whose BMS frame is not fixed. Furthermore, we find that by mapping CCE waveforms to the super rest frame, we can obtain all-mode mismatches that are, on average, a factor of \(\sim4\) better than using the publicly-available extrapolated waveforms. We illustrate the effectiveness of these modeling enhancements by applying them to families of waveforms produced by NR and comparing our results to previous QNM studies.
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subjects Critical point
Gravitational waves
Mathematical models
Numerical relativity
Observatories
Physics - General Relativity and Quantum Cosmology
Physics - High Energy Astrophysical Phenomena
Physics - High Energy Physics - Theory
Relativity
Theory of relativity
Waveforms
title High Precision Ringdown Modeling: Multimode Fits and BMS Frames
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