Scattering of gravitational waves by the weak gravitational fields of lens objects

Free access article

Issue		A&A Volume 438, Number 1, July IV 2005


Page(s)		L5 - L8
Section		Letters
DOI		http://dx.doi.org/10.1051/0004-6361:200500140

A&A 438, L5-L8 (2005)
DOI: 10.1051/0004-6361:200500140

Letter

Scattering of gravitational waves by the weak gravitational fields of lens objects

R. Takahashi¹, T. Suyama² and S. Michikoshi²

¹ Division of Theoretical Astronomy, National Astronomical Observatory of Japan, Mitaka, Tokyo 181-8588, Japan
² Department of Physics, Kyoto University, Kyoto 606-8502, Japan

(Received 17 March 2005 / Accepted 7 June 2005 )

Abstract
We consider the scattering of 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.

Key words: gravitational lensing -- gravitational waves -- scattering

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