Perturbative Approach to the Gravitational Lensing by a Non-spherically Distorted Compact Object

Details Perturbative Approach to the Gravitational Lensing by a Non-spherically Distorted Compact Object Perturbative Approach to the Gravitational Lensing by a Non-spherically Distorted Compact Object

2011-03-17

arxiv.org/abs/1103.3327v2

Prog. Theor. Phys. 126 (2011), 157-166

Astronomy and Astrophysics

Astrophysics

Cosmology and Extragalactic Astrophysics

10 pages, version accepted for publication in PTP

Scientific paper

10.1143/PTP.126.157

We investigate the gravitational lens effect caused by a non-spherically distorted compact object. The non-spherical property of the gravitational potential is modeled by a quadrupole moment. Under the assumption that the quadrupole contribution is small, we solve perturbatively the lens equation and obtain the image positions and the amplification factors. We show that the separation angle of two major images is only slightly changed by the existence of the quadrupole contribution, whereas the difference of the amplification factors may be significantly modified. Our results indicate that even a tiny non-spherical distortion of the lens potential may cause significant amount of flux anomalies in the lensed images.

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