Validity of strong lensing statistics for constraints on the galaxy evolution model - AstrophysicsReport as inadecuate




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Abstract: We examine the usefulness of the strong lensing statistics to constrain theevolution of the number density of lensing galaxies by adopting the values ofthe cosmological parameters determined by recent WMAP observation. For thispurpose, we employ the lens-redshift test proposed by Kochanek 1992 andconstrain the parameters in two evolution models, simple power-law modelcharacterized by the power law indexes $nu {n}$ and $ u {v}$ and the evolutionmodel by Mitchell et al. 2005 based on CDM structure formation scenario. Weuse the well-defined lens sample from the Sloan Digital Sky Survey SDSS andthis is similarly sized samples used in the previous studies. Furthermore, weadopt the velocity dispersion function of early-type galaxies based on SDSS DR1and DR5. It turns out that the indexes of power-law model are consistent withthe previous studies, thus our results indicate the mild evolution in thenumber and velocity dispersion of early-type galaxies out to z = 1. However wefound that the values for p and q used by Mitchell et al. are inconsistent withthe presently available observational data. More complete sample is necessaryto withdraw more realistic determination on these parameters.



Author: Akiko Matsumoto, Toshifumi Futamase

Source: https://arxiv.org/







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