A Simple Model for Lensing by Black Holes in Galactic Nuclei
arXiv:astro-ph/0602368 · doi:10.1111/j.1365-2966.2006.10230.x
Abstract
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.
arXiv comment7 pages, 4 figures, MNRAS, in press, small changes made
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Cited by in corpus (5)
- Regimes in astrophysical lensing: refractive optics, diffractive optics, and the Fresnel scale
- The Milky Way Galaxy as a Strong Gravitational Lens
- A Lefschetz fixed point theorem in gravitational lensing
- Gravitational lensing effects of supermassive black holes in cluster environments
- Gravitational Lensing By a Massive Object in a Dark Matter Halo. I. Critical Curves and Caustics