Properties of Point Mass Lenses On A Regular Polygon and The Problem of Maximum Number of Images

Details Properties of Point Mass Lenses On A Regular Polygon and The Problem of Maximum Number of Images Properties of Point Mass Lenses On A Regular Polygon and The Problem of Maximum Number of Images

1997-08-12

arxiv.org/abs/astro-ph/9708111v1

Astronomy and Astrophysics

Astrophysics

3 pages with 1 figure. To appear in the ``Proceedings of the Eighth Marcel Grossmann Meeting on General Relativity'', Ed. R. R

Scientific paper

We study the critical curves, caustics, and multiple imaging due to one of the simplest many-body gravitational lens configurations: equal-mass point masses on the vertices of a regular polygon. Some examples of the critical curves and caustics are also displayed. We pose the problem of determining the maximum number of lensed images due to regular-polygon and general point mass configurations. Our numerical simulations suggest a maximum that is linear, rather than quadratic, in the number of point masses.

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