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Computation of displacement and spin gravitational memory in numerical relativity

Mitman, Keefe and Moxon, Jordan and Scheel, Mark A. and Teukolsky, Saul A. and Boyle, Michael and Deppe, Nils and Kidder, Lawrence E. and Throwe, William (2020) Computation of displacement and spin gravitational memory in numerical relativity. Physical Review D, 102 (10). Art. No. 104007. ISSN 2470-0010. doi:10.1103/physrevd.102.104007.

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We present the first numerical relativity waveforms for binary black hole mergers produced using spectral methods that show both the displacement and the spin memory effects. Explicitly, we use the SXS (Simulating eXtreme Spacetimes) Collaboration’s SpEC code to run a Cauchy evolution of a binary black hole merger and then extract the gravitational wave strain using SpECTRE’s version of a Cauchy-characteristic extraction. We find that we can accurately resolve the strain’s traditional m=0 memory modes and some of the m≠0 oscillatory memory modes that have previously only been theorized. We also perform a separate calculation of the memory using equations for the Bondi-Metzner-Sachs charges as well as the energy and angular momentum fluxes at asymptotic infinity. Our new calculation uses only the gravitational wave strain and two of the Weyl scalars at infinity. Also, this computation shows that the memory modes can be understood as a combination of a memory signal throughout the binary’s inspiral and merger phases, and a quasinormal mode signal near the ringdown phase. Additionally, we find that the magnetic memory, up to numerical error, is indeed zero as previously conjectured. Last, we find that signal-to-noise ratios of memory for LIGO, the Einstein Telescope, and the Laser Interferometer Space Antenna with these new waveforms and new memory calculation are larger than previous expectations based on post-Newtonian or minimal waveform models.

Item Type:Article
Related URLs:
URLURL TypeDescription
Mitman, Keefe0000-0003-0276-3856
Moxon, Jordan0000-0001-9891-8677
Teukolsky, Saul A.0000-0001-9765-4526
Kidder, Lawrence E.0000-0001-5392-7342
Additional Information:© 2020 American Physical Society. Received 23 July 2020; accepted 2 October 2020; published 2 November 2020. We thank Matt Giesler for many useful conversations. Computations were performed on the Wheeler cluster at the California Institute of Technology (Caltech), which is supported by the Sherman Fairchild Foundation and by Caltech. This work was supported in part by the Sherman Fairchild Foundation and by NSF Grants No. PHY-1708212, No. PHY-1708213, and No. OAC-1931266 at Caltech and NSF Grants No. PHY-1912081 and No. OAC-1931280 at Cornell.
Group:TAPIR, Walter Burke Institute for Theoretical Physics
Funding AgencyGrant Number
Sherman Fairchild FoundationUNSPECIFIED
Issue or Number:10
Record Number:CaltechAUTHORS:20201104-132612504
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:106431
Deposited By: Tony Diaz
Deposited On:05 Nov 2020 00:07
Last Modified:16 Nov 2021 18:54

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