A Technical Memorandum On Core Radii In Lens Statistics

Details A Technical Memorandum On Core Radii In Lens Statistics A Technical Memorandum On Core Radii In Lens Statistics

1995-10-15

arxiv.org/abs/astro-ph/9510074v1

Astronomy and Astrophysics

Astrophysics

6 pages, 3 figures, uuencoded compressed postscript Paper to appear in ``Astrophysical Applications of Gravitational Lensing''

Scientific paper

Quantitative estimates of lensing probabilities must be self-consistent. In particular, for asymptotically isothermal models: (1) using the $(3/2)^{1/2}$ correction for the velocity dispersion overestimates the expected number of lenses by 150\% and their average separations by 50\%, thereby introducing large cosmological errors; (2) when a core radius is added to the SIS model, the velocity dispersion must be increased; and (3) cross sections and magnification bias cannot be separated when computing the lensing probability. When we self-consistently calculate the effects of finite core radii in flat cosmological models, we find that the cosmological limits are independent of the core radius.

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