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Journal Article

Astrometric Effects of Gravitational Wave Backgrounds with non-Luminal Propagation Speeds

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Mihaylov,  Deyan
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Gair,  Jonathan
Astrophysical and Cosmological Relativity, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1911.10356.pdf
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Citation

Mihaylov, D., Moore, C. J., Gair, J., Lasenby, A., & Gilmore, G. (2020). Astrometric Effects of Gravitational Wave Backgrounds with non-Luminal Propagation Speeds. Physical Review D, 101 (2): 024038. doi:10.1103/PhysRevD.101.024038.


Cite as: http://hdl.handle.net/21.11116/0000-0005-A5E8-B
Abstract
A passing gravitational wave causes a deflection in the apparent astrometric positions of distant stars. The effect of the speed of the gravitational wave on this astrometric shift is discussed. A stochastic background of gravitational waves would result in a pattern of astrometric deflections which are correlated on large angular scales. These correlations are quantified and investigated for backgrounds of gravitational waves with sub- and super-luminal group velocities. The statistical properties of the correlations are depicted in two equivalent and related ways: as correlation curves and as angular power spectra. Sub-(super-)luminal gravitational wave backgrounds have the effect of enhancing (suppressing) the power in low-order angular modes. Analytical representations of the redshift-redshift and redshift-astrometry correlations are also derived. The potential for using this effect for constraining the speed of gravity is discussed.