Effects of a deformation of a star on the gravitational lensing

Details Effects of a deformation of a star on the gravitational lensing Effects of a deformation of a star on the gravitational lensing

2004-10-12

arxiv.org/abs/astro-ph/0410289v1

Mon.Not.Roy.Astron.Soc. 356 (2005) 1249

Astronomy and Astrophysics

Astrophysics

8 pages; accepted for publication in MNRAS

Scientific paper

10.1111/j.1365-2966.2004.08486.x

We study analytically a gravitational lens due to a deformed star, which is modeled by using a monopole and a quadrupole moment. Positions of the images are discussed for a source on the principal axis. We present explicit expressions for the lens equation for this gravitational lens as a single real tenth-order algebraic equation. Furthermore, we compute an expression for the caustics as a discriminant for the polynomial. Another simple parametric representation of the caustics is also presented in a more tractable form. A simple expression for the critical curves is obtained to clarify a topological feature of the critical curves; the curves are simply connected if and only if the distortion is sufficiently large.

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