All-sky analysis of astrochronometric signals induced by gravitational waves
File(s)
Accepted version
Author(s)
Golat, Sebastian
Contaldi, Carlo R
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.
Date Issued
2022-03-01
Date Acceptance
2022-02-06
Citation
Physical Review D, 2022, 105 (6), pp.1-15
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
Science and Technology Facilities Council (STFC)
Identifier
https://journals.aps.org/prd/abstract/10.1103/PhysRevD.105.063502
Grant Number
ST/T000791/1
Subjects
gr-qc
gr-qc
astro-ph.CO
Publication Status
Published
Article Number
063502
Date Publish Online
2022-03-01