Higher memory effects in numerical simulations of binary black hole mergers
Higher memory effects in numerical simulations of binary black hole mergers
Gravitational memory effects are predictions of general relativity that are characterized by an observable effect that persists after the passage of gravitational waves. In recent years, they have garnered particular interest, both due to their connection to asymptotic symmetries and soft theorems and because their observation would serve as a unique test of the nonlinear nature of general relativity. Apart from the more commonly known displacement and spin memories, however, there are other memory effects predicted by Einstein's equations that are associated with more subleading terms in the asymptotic expansion of the Bondi-Sachs metric. In this paper, we write explicit expressions for these higher memory effects in terms of their charge and flux contributions. Further, by using a numerical relativity simulation of a binary black hole merger, we compute the magnitude and morphology of these terms and compare them to those of the displacement and spin memory. We find that, although these terms are interesting from a theoretical perspective, due to their small magnitude they will be particularly challenging to observe with current and future detectors.
general relativity, gravitational wave memory, gravitational waves
Grant, Alexander M.
497961d0-19ca-42dc-b989-8125d7842bfa
Mitman, Keefe
094192ef-2a70-47bd-bcfa-fd7e71160c59
26 July 2024
Grant, Alexander M.
497961d0-19ca-42dc-b989-8125d7842bfa
Mitman, Keefe
094192ef-2a70-47bd-bcfa-fd7e71160c59
Grant, Alexander M. and Mitman, Keefe
(2024)
Higher memory effects in numerical simulations of binary black hole mergers.
Classical and Quantum Gravity, 41 (17), [175003].
(doi:10.1088/1361-6382/ad5d46).
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Special issue
Abstract
Gravitational memory effects are predictions of general relativity that are characterized by an observable effect that persists after the passage of gravitational waves. In recent years, they have garnered particular interest, both due to their connection to asymptotic symmetries and soft theorems and because their observation would serve as a unique test of the nonlinear nature of general relativity. Apart from the more commonly known displacement and spin memories, however, there are other memory effects predicted by Einstein's equations that are associated with more subleading terms in the asymptotic expansion of the Bondi-Sachs metric. In this paper, we write explicit expressions for these higher memory effects in terms of their charge and flux contributions. Further, by using a numerical relativity simulation of a binary black hole merger, we compute the magnitude and morphology of these terms and compare them to those of the displacement and spin memory. We find that, although these terms are interesting from a theoretical perspective, due to their small magnitude they will be particularly challenging to observe with current and future detectors.
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Grant_2024_Class._Quantum_Grav._41_175003
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Accepted/In Press date: 28 June 2024
Published date: 26 July 2024
Keywords:
general relativity, gravitational wave memory, gravitational waves
Identifiers
Local EPrints ID: 492492
URI: http://eprints.soton.ac.uk/id/eprint/492492
ISSN: 0264-9381
PURE UUID: 057fe961-d058-47c7-b239-40af619f9151
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Date deposited: 30 Jul 2024 16:32
Last modified: 05 Aug 2024 16:30
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Contributors
Author:
Alexander M. Grant
Author:
Keefe Mitman
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