Gyroscopic Gravitational Memory from quasi-circular binary systems

Fuente: arXiv
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Autores principales: Faye, Guillaume, Seraj, Ali
Formato: Preprint
Publicado: 2024
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author Faye, Guillaume
Seraj, Ali
author_facet Faye, Guillaume
Seraj, Ali
contents Gravitational waves cause freely falling spinning objects to precess, resulting in a net orientation change called gyroscopic memory. In this paper, we will consider isolated gravitational sources in the post-Newtonian framework and compute the gyroscopic precession and memory at leading post-Newtonian (PN) orders. We compare two competing contributions: the spin memory and the nonlinear helicity flux. At the level of the precession rate, the former is a 2PN oscillatory effect, while the latter is a 4PN adiabatic effect. However, the gyroscopic memory involves a time integration, which enhances subleading adiabatic effects by the fifth power of the velocity of light, leading to a 1.5PN memory effect. We explicitly compute the leading effects for a quasi-circular binary system and obtain the angular dependence of the memory on the celestial sphere.
format Preprint
id arxiv_https___arxiv_org_abs_2409_02624
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Gyroscopic Gravitational Memory from quasi-circular binary systems
Faye, Guillaume
Seraj, Ali
General Relativity and Quantum Cosmology
High Energy Physics - Theory
Gravitational waves cause freely falling spinning objects to precess, resulting in a net orientation change called gyroscopic memory. In this paper, we will consider isolated gravitational sources in the post-Newtonian framework and compute the gyroscopic precession and memory at leading post-Newtonian (PN) orders. We compare two competing contributions: the spin memory and the nonlinear helicity flux. At the level of the precession rate, the former is a 2PN oscillatory effect, while the latter is a 4PN adiabatic effect. However, the gyroscopic memory involves a time integration, which enhances subleading adiabatic effects by the fifth power of the velocity of light, leading to a 1.5PN memory effect. We explicitly compute the leading effects for a quasi-circular binary system and obtain the angular dependence of the memory on the celestial sphere.
title Gyroscopic Gravitational Memory from quasi-circular binary systems
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2409.02624