Scattering of Gravitational Waves by the Weak Gravitational Fields of Lens Objects

Details Scattering of Gravitational Waves by the Weak Gravitational Fields of Lens Objects Scattering of Gravitational Waves by the Weak Gravitational Fields of Lens Objects

2005-03-16

arxiv.org/abs/astro-ph/0503343v2

Astronomy and Astrophysics

Astrophysics

4 pages, 2 figures, A&A Letters, in press, minor changes, references added

Scientific paper

10.1051/0004-6361:200500140

We consider the scattering of the gravitational waves by the weak gravitational fields of lens objects. We obtain the scattered gravitational waveform by treating the gravitational potential of the lens to first order, i.e. using the Born approximation. We find that the effect of scattering on the waveform is roughly given by the Schwarzschild radius of the lens divided by the wavelength of gravitational wave for a compact lens object. If the lenses are smoothly distributed, the effect of scattering is of the order of the convergence field $\kappa$ along the line of sight to the source. In the short wavelength limit, the amplitude is magnified by $1+\kappa$, which is consistent with the result in weak gravitational lensing.

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