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Light deflection by gravitational waves from localized sources

Thibault Damour·Gilles Esposito-Farese
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Abstract

We study the deflection of light (and the redshift, or integrated time delay) caused by the time-dependent gravitational field generated by a localized material source lying close to the line of sight. Our calculation explicitly takes into account the full, near-zone, plus intermediate-zone, plus wave-zone, retarded gravitational field. Contrary to several recent claims in the literature, we find that the deflections due to both the wave-zone 1/r gravitational wave and the intermediate-zone 1/r^2 retarded fields vanish exactly. The leading total time-dependent deflection caused by a localized material source, such as a binary system, is proven to be given by the quasi-static, near-zone quadrupolar piece of the gravitational field, and therefore to fall off as the inverse cube of the impact parameter.

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Thibault Damour, Gilles Esposito-Farese. 1998-02-09. Light deflection by gravitational waves from localized sources. https://doi.org/10.1103/physrevd.58.044003

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