Reduction of the gravitational lens equation to a one-dimensional non-linear form for the tilted Plummer model family

Details Reduction of the gravitational lens equation to a one-dimensional non-linear form for the tilted Plummer model family Reduction of the gravitational lens equation to a one-dimensional non-linear form for the tilted Plummer model family

2008-06-06

arxiv.org/abs/0806.1086v1

Mon. Not. Roy. Astron. Soc. 376:L72-L75,2007

Astronomy and Astrophysics

Astrophysics

MNRAS accepted. 4 pages, 2 figures

Scientific paper

10.1111/j.1745-3933.2007.00289.x

The gravitational lens equation for the tilted Plummer family of models can be reduced to a one-dimensional non-linear equation. For certain values of the slope of the radial profile it can be reduced to a polynomial form. Both forms are advantageous to find the roots, i.e. the images for a given model. The critical curve equations can also be reduced to a non-linear or polynomial form, and therefore it is useful to find the caustics. This lens model family has ample use in gravitational lens theory, and can produce up to five images.

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