Light deflection by gravitational waves from localized sources

Details Light deflection by gravitational waves from localized sources Light deflection by gravitational waves from localized sources

1998-02-09

arxiv.org/abs/gr-qc/9802019v1

Phys.Rev. D58 (1998) 044003

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, REVTeX 3.0, no figure

Scientific paper

10.1103/PhysRevD.58.044003

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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