Aberration of gravitational waveforms by peculiar velocity

Fuente: arXiv
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Auteurs principaux: Bonvin, Camille, Cusin, Giulia, Pitrou, Cyril, Mastrogiovanni, Simone, Congedo, Giuseppe, Gair, Jonathan
Format: Preprint
Publié: 2022
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author Bonvin, Camille
Cusin, Giulia
Pitrou, Cyril
Mastrogiovanni, Simone
Congedo, Giuseppe
Gair, Jonathan
author_facet Bonvin, Camille
Cusin, Giulia
Pitrou, Cyril
Mastrogiovanni, Simone
Congedo, Giuseppe
Gair, Jonathan
contents One key prediction of General Relativity is that gravitational waves are emitted with a pure spin-2 polarisation. Any extra polarisation mode, spin-1 or spin-0, is consequently considered a smoking gun for deviations from General Relativity. In this paper, we show that the velocity of merging binaries with respect to the observer gives rise to spin-1 polarisation in the observer frame even in the context of General Relativity. These are pure projection effects, proportional to the plus and cross polarisations in the source frame, hence they do not correspond to new degrees of freedom. We demonstrate that the spin-1 modes can always be rewritten as pure spin-2 modes coming from an aberrated direction. Since gravitational waves are not isotropically emitted around binary systems, this aberration modifies the apparent orientation of the binary system with respect to the observer: the system appears slightly rotated due to the source velocity. Fortunately, this bias does not propagate to other parameters of the system (and therefore does not spoil tests of General Relativity), since the impact of the velocity can be fully reabsorbed into new orientation angles.
format Preprint
id arxiv_https___arxiv_org_abs_2211_14183
institution arXiv
publishDate 2022
record_format arxiv
spellingShingle Aberration of gravitational waveforms by peculiar velocity
Bonvin, Camille
Cusin, Giulia
Pitrou, Cyril
Mastrogiovanni, Simone
Congedo, Giuseppe
Gair, Jonathan
General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
One key prediction of General Relativity is that gravitational waves are emitted with a pure spin-2 polarisation. Any extra polarisation mode, spin-1 or spin-0, is consequently considered a smoking gun for deviations from General Relativity. In this paper, we show that the velocity of merging binaries with respect to the observer gives rise to spin-1 polarisation in the observer frame even in the context of General Relativity. These are pure projection effects, proportional to the plus and cross polarisations in the source frame, hence they do not correspond to new degrees of freedom. We demonstrate that the spin-1 modes can always be rewritten as pure spin-2 modes coming from an aberrated direction. Since gravitational waves are not isotropically emitted around binary systems, this aberration modifies the apparent orientation of the binary system with respect to the observer: the system appears slightly rotated due to the source velocity. Fortunately, this bias does not propagate to other parameters of the system (and therefore does not spoil tests of General Relativity), since the impact of the velocity can be fully reabsorbed into new orientation angles.
title Aberration of gravitational waveforms by peculiar velocity
topic General Relativity and Quantum Cosmology
Cosmology and Nongalactic Astrophysics
url https://arxiv.org/abs/2211.14183