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Auteurs principaux: Grant, Alexander M., Mitman, Keefe
Format: Preprint
Publié: 2023
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Accès en ligne:https://arxiv.org/abs/2312.02295
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author Grant, Alexander M.
Mitman, Keefe
author_facet Grant, Alexander M.
Mitman, Keefe
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2312_02295
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Higher Memory Effects in Numerical Simulations of Binary Black Hole Mergers
Grant, Alexander M.
Mitman, Keefe
General Relativity and Quantum Cosmology
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.
title Higher Memory Effects in Numerical Simulations of Binary Black Hole Mergers
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2312.02295