Gravitational lensing and the maximum number of images

Details Gravitational lensing and the maximum number of images Gravitational lensing and the maximum number of images

Sep 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006gregr..38.1379b&link_type=abstract

General Relativity and Gravitation, Volume 38, Issue 9, pp.1379-1385

Physics

3

Gravitation, Gravitational Lenses, Multiple Images

Scientific paper

We show that in a configuration of point masses, replacing one of the point deflectors by a spherically symmetric distributed mass only introduces one extra image. This extra image is located inside the radius of the distributed mass added. We extend a result available for a set of n point masses, by showing that the maximum number of images that n distributed lensing objects located on a plane can create is N max = 6( n - 1) + 1 for n ≥ 2. Our result is generic in that the mass density for each deflector is only constrained to diverge slower than 1/ r as r approaches the center of the mass.

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