A Simple Model for Lensing by Black Holes in Galactic Nuclei

Details A Simple Model for Lensing by Black Holes in Galactic Nuclei A Simple Model for Lensing by Black Holes in Galactic Nuclei

2006-02-16

arxiv.org/abs/astro-ph/0602368v2

Mon.Not.Roy.Astron.Soc.368:1362-1368,2006

Astronomy and Astrophysics

Astrophysics

7 pages, 4 figures, MNRAS, in press, small changes made

Scientific paper

10.1111/j.1365-2966.2006.10230.x

The lensing properties of the Plummer model with a central point mass and external shear are derived, including the image multiplicities, critical curves and caustics. This provides a simple model for a flattened galaxy with a central supermassive black hole. For the Plummer model with black hole, the maximum number of images is 4, provided the black hole mass is less than an upper bound which is calculated analytically. This introduces a method to constrain black hole masses by counting images, thus applicable at cosmological distance. With shear, the maximum number of images is 6 and we illustrate the occurrence of an astroid caustic and two metamorphoses.

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