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A Technical Memorandum On Core Radii In Lens Statistics

Published online by Cambridge University Press:  25 May 2016

Christopher S. Kochanek*
Affiliation:
Harvard-Smithsonian Center for Astrophysics, 60 Garden Street, Cambridge, MA 02138, USA

Abstract

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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.

Type
Chapter 1: Classical Cosmology
Copyright
Copyright © Kluwer 1996 

References

Blandford, R.D., & Narayan, R. 1986, ApJ, 310, 568 Google Scholar
Blandford, R.D., & Kochanek, C.S., 1987, ApJ, 321, 658 Google Scholar
Bloomfield-Torres, L.F.B., & Waga, I., 1995, this volume Google Scholar
Breimer, T.G., & Sanders, R.H., 1993, A&A, 274, 96 Google Scholar
Dyer, C.C., 1984, ApJ, 287, 26 Google Scholar
Franx, M., 1993, in Galactic Bulges, ed. Dejonghe, H. & Habing, H.J., (Dordrecht: Kluwer) 243 Google Scholar
Fukugita, M., & Turner, E.L., 1991, MNRAS, 253, 99 Google Scholar
Fukugita, M., Futamase, T., Kasai, M., & Turner, E.L., 1992, MNRAS, 393, 3 Google Scholar
Hernquist, L., 1990, ApJ, 356, 359 Google Scholar
Hinshaw, G., & Krauss, L.M., 1987, ApJ, 320, 468 Google Scholar
Kassiola, A., & Kovner, I., 1993, ApJ, 417, 450 Google Scholar
Kochanek, C.S., 1991a, ApJ, 373, 354 Google Scholar
Kochanek, C.S., 1991b, ApJ, 379, 517 Google Scholar
Kochanek, C.S., 1993, ApJ, 419, 12 Google Scholar
Kochanek, C.S., 1994, ApJ, 436, 56 Google Scholar
Kochanek, C.S., 1995, submitted to ApJ Google Scholar
Kochanek, C.S., & Blandford, R.D., 1987, ApJ, 321, 676 Google Scholar
Krauss, L.M., & White, M., 1992, ApJ, 394, 385 Google Scholar
Maoz, D., & Rix, H.-W., 1993, ApJ, 416, 425 Google Scholar
Tremaine, S., Richstone, D.O., Byun, Yong-Ik, Dressler, A., Faber, S.M., Grillmair, C., Kormendy, J., & Lauer, T.R., 1994, AJ, 107, 634 Google Scholar
Turner, E.L., Ostriker, J.P., & Gott, J.R., 1984, ApJ, 284, 1 Google Scholar
van der Marel, R.P., 1991, MNRAS, 253, 710 Google Scholar
Wallington, S., & Narayan, R., 1993, ApJ, 403, 517 Google Scholar