A Technical Memorandum On Core Radii In Lens Statistics
1996 ◽
Vol 173
◽
pp. 7-12
Keyword(s):
The Core
◽
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.
Keyword(s):
2021 ◽
Vol 503
(1)
◽
pp. 1490-1506
2020 ◽
Vol 496
(2)
◽
pp. 1453-1470
◽
Keyword(s):