Astronomy and Astrophysics – Astrophysics
Scientific paper
2002-11-12
Astronomy and Astrophysics
Astrophysics
31 pages, 12figures, 6 tables, to appear in MNRAS (referee comments incorporated, a section on future prospects added)
Scientific paper
10.1111/j.1365-2966.2003.07092.x
Extensive analyses of statistical strong gravitational lensing are performed based on the final Cosmic Lens All Sky Survey (CLASS) well-defined statistical sample of flat spectrum radio sources and current estimates of galaxy luminosity functions per morphological type. The analyses are done under the assumption that galactic lenses are well-approximated by singular isothermal ellipsoids and early-type galaxies evolved passively since redshift $z \sim 1$. Depending on how the late-type galaxy population is treated (i.e., whether its characteristic velocity dispersion is constrained or not), we find for a flat universe with a cosmological constant that the present matter fraction of the present critical density $\Omega_{\rm m} = 0.31^{+0.27}_{-0.14}$ (68%) for the unconstrained case or $0.40^{+0.28}_{-0.16}$ (68%) for the constrained case, with an additional systematic uncertainty of $\approx 0.11$ arising from the present uncertainty in the distribution of CLASS sources in redshift and flux density. For a flat universe with a constant equation of state for dark energy w = $p_x$(pressure)/$\rho_x$(energy density), we find that $w < -0.55^{+0.18}_{-0.11}$ (68%) for the unconstrained case or $w < -0.41^{+0.28}_{-0.16}$ (68%) for the constrained case. For the equal frequencies of oblates and prolates, we find that $\sigma_{*}^{(e)} = 198^{+22}_{-18}$ km s$^{-1}$ (68%) for a `steep' $\alpha^{(e)}=-1$ or $\sigma_{*}^{(e)} = 181^{+18}_{-15}$ km s$^{-1}$ (68%) for a `shallow' $\alpha^{(e)}=-0.54$. Finally, from the relative frequencies of doubly-imaged sources and quadruply-imaged sources, we find that a mean projected mass ellipticity of early-type galaxies $\bar{\epsilon}_{\rm mass} = 0.42$ with a 68% lower limit of 0.28. (Abridged)
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