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All-sky analysis of astrochronometric signals induced by gravitational waves

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Title: All-sky analysis of astrochronometric signals induced by gravitational waves
Authors: Golat, S
Contaldi, CR
Item Type: Journal Article
Abstract: We introduce a unified spin-weighted formalism to describe both timing and astrometric perturbations induced on astrophysical point sources by gravitational waves using a complex spin field on the sphere. This allows the use of spin-weighted spherical harmonics to analyze “astrochronometric” observables. This approach simplifies the interpretation and simulation of anisotropies induced in the observables by gravitational waves. It also allows a simplified derivation of angular cross-spectra of the observables and their relationship with generalized Hellings-Downs correlation functions. The spin-weighted formalism also allows an explicit connection between correlation components and the spin of gravitational wave polarizations and any presence of chirality. We also calculate expected signal-to-noise ratios for observables to compare the utility of timing and deflection observables.
Issue Date: 1-Mar-2022
Date of Acceptance: 6-Feb-2022
URI: http://hdl.handle.net/10044/1/95290
DOI: 10.1103/physrevd.105.063502
ISSN: 2470-0010
Publisher: American Physical Society (APS)
Start Page: 1
End Page: 15
Journal / Book Title: Physical Review D
Volume: 105
Issue: 6
Copyright Statement: © 2022 American Physical Society
Sponsor/Funder: Science and Technology Facilities Council (STFC)
Funder's Grant Number: ST/T000791/1
Keywords: gr-qc
gr-qc
astro-ph.CO
Publication Status: Published
Article Number: 063502
Online Publication Date: 2022-03-01
Appears in Collections:Physics
Theoretical Physics
Faculty of Natural Sciences