Astronomy and Astrophysics – Astrophysics
Scientific paper
2005-12-05
Phys.Rev.D73:024026,2006
Astronomy and Astrophysics
Astrophysics
15 pages, 8 figures, reference added
Scientific paper
10.1103/PhysRevD.73.024026
We present exact solutions of the massless Klein-Gordon equation in a spacetime in which an infinite straight cosmic string resides. The first solution represents a plane wave entering perpendicular to the string direction. We also present and analyze a solution with a static point-like source. In the short wavelength limit these solutions approach the results obtained by using the geometrical optics approximation: magnification occurs if the observer lies in front of the string within a strip of angular width $8\pi G\mu$, where $\mu$ is the string tension. We find that when the distance from the observer to the string is less than $ 10^{-3} {(G \mu)}^{-2}\lambda \sim 150 {\rm Mpc} (\lambda/{\rm AU}) (G\mu/10^{-8})^{-2}$, where $\lambda$ is the wave length, the magnification is significantly reduced compared with the estimate based on the geometrical optics due to the diffraction effect. For gravitational waves from neutron star(NS)-NS mergers the several lensing events per year may be detected by DECIGO/BBO.
Suyama Teruaki
Takahashi Ryuichi
Tanaka Takahiro
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