Gravitational Lens Statistics and The Density Profile of Dark Halos

Abstract

We investigate the influence of the inner profile of lens objects on gravitational lens statistics taking into account of the effect of magnification bias and both the evolution and the scatter of halo profiles. We take the dark halos as the lens objects and consider the following three models for the density profile of dark halos; SIS (singular isothermal sphere), the NFW (Navarro Frenk White) profile, and the generalized NFW profile which has a different slope at smaller radii. The mass function of dark halos is assumed to be given by the Press-Schechter function. We find that magnification bias for the NFW profile is order of magnitude larger than that for SIS. We estimate the sensitivity of the lensing probability of distant sources to the inner profile of lenses and to the cosmological parameters. It turns out that the lensing probability is strongly dependent on the inner density profile as well as on the cosmological constant. We compare the predictions with the largest observational sample, the Cosmic Lens All-Sky Survey. The absence or presence of large splitting events in larger surveys currently underway such as the 2dF and SDSS could set constraints on the inner density profile of dark halos.

22 pages, minor changes and references added, accepted for publication in ApJ

References in corpus (5)

• Mass Density Profiles of LSB Galaxies
• Global Probes of the Impact of Baryons on Dark Matter Halos
• Lensing Constraints on the Cores of Massive Dark Matter Halos
• Probing the Core Structure of Dark Halos with Tangential and Radial Arc Statistics
• Determining the Geometry and the Cosmological Parameters of the Universe through SZE Cluster Counts

Cited by in corpus (24)

• A Gravitationally Lensed Quasar with Quadruple Images Separated by 14.62 Arcseconds
• Strong gravitational lensing of explosive transients
• The Incidence of Strong-Lensing Clusters in the Red-Sequence Cluster Survey
• What is the largest Einstein radius in the universe?
• Observations and Theoretical Implications of the Large Separation Lensed Quasar SDSS J1004+4112
• Effects of Triaxiality on the Statistics of Large-Separation Gravitational Lenses
• The image separation distribution of strong lenses: Halo versus subhalo populations
• Strong Gravitational Lensing Time Delay Statistics and the Density Profile of Dark Halos
• Effects of Ellipticity and Shear on Gravitational Lens Statistics
• Gravitational Lensing Magnification and Time Delay Statistics for Distant Supernovae
• Synthetic X-ray light curves of BL Lacs from relativistic hydrodynamic simulations
• Determining the Lensing Fraction of SDSS Quasars: Methods and Results from the EDR
• Strong lensing constraints on the velocity dispersion and density profile of elliptical galaxies
• Constraints on the Inner Cluster Mass Profile and the Power Spectrum Normalization from Strong Lensing Statistics
• ALMA observations of lensed Herschel sources : Testing the dark-matter halo paradigm
• Lensing clusters of galaxies in the SDSS-III
• How many arcminute-separation lenses are expected in the 2dF QSO survey?
• Constraints on the Baryonic Compression and Implications for the Fraction of Dark Halo Lenses
• Effects of galaxy-halo alignment and adiabatic contraction on gravitational lens statistics
• Discovery of four gravitational lensing systems by clusters in the SDSS DR6
• Light Propagation in Inhomogeneous Universes. III. Distributions of Image Separations
• Gravitational Lensing of Anisotropic Sources
• Modulation of a Chirp Gravitational Wave from a Compact Binary due to Gravitational Lensing
• Simulation-based marginal likelihood for cluster strong lensing cosmology