Citation

BibTex format

@article{Mentasti:2026:02/013,
author = {Mentasti, G and Contaldi, CR},
doi = {02/013},
journal = {Journal of Cosmology and Astroparticle Physics},
title = {A unified spin-harmonic framework for correlating pulsar timing, astrometric deflection, and shimmering gravitational wave observations},
url = {http://dx.doi.org/10.1088/1475-7516/2026/02/013},
volume = {2026},
year = {2026}
}
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RIS format (EndNote, RefMan)

TY  - JOUR
AB  - We present a unified spin-weighted harmonic framework that delivers analytic, diagonal expressions for the overlap (correlation) functions of three low frequency gravitational wave observables-pulsar timing redshifts, astrometric deflections, and time-dependent image distortions (“shimmering”). Writing each response in spin-s spherical harmonics and rotating to a basis in which the wave tensor has definite helicity, we obtain compact closed-form series for every auto- and cross-correlation, recovering the Hellings-Downs curve as the s = 0 limit and deriving its astrometric (s = ± 1) and shimmering (s = ± 2) analogues. The formalism naturally extends to non-standard scalar-breathing, longitudinal, and vector polarisation modes, clarifying when higher-spin observables are (and are not) sourced and providing a complete set of harmonic spectra C ready for parameter estimation pipelines. These results supply the common theoretical language needed to combine upcoming pulsar timing, Gaia-class astrometric, and high resolution imaging data sets, enabling coherent, multi probe searches for stochastic gravitational wave backgrounds, tests of general relativity and its alternatives across the nano- to micro-hertz gravitational wave band.
AU  - Mentasti,G
AU  - Contaldi,CR
DO  - 02/013
PY  - 2026///
SN  - 1475-7516
TI  - A unified spin-harmonic framework for correlating pulsar timing, astrometric deflection, and shimmering gravitational wave observations
T2  - Journal of Cosmology and Astroparticle Physics
UR  - http://dx.doi.org/10.1088/1475-7516/2026/02/013
UR  - https://doi.org/10.1088/1475-7516/2026/02/013
VL  - 2026
ER  -
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