Gravitational Lensing by Dark Matter Halos with Non-universal Density Profiles

Abstract

The statistics of gravitational lensing can provide us with a very powerful probe of the mass distribution of matter in the universe. By comparing predicted strong lensing probabilities with observations, we can test the mass distribution of dark matter halos, in particular, the inner density slope. In this letter, unlike previous work that directly models the density profiles of dark matter halos semi-analytically, we generalize the density profiles of dark matter halos from high-resolution N-body simulations by means of generalized Navarro-Frenk-White (GNFW) models of three populations with slopes, $\alpha$, of about -1.5, -1.3 and -1.1 for galaxies, groups and clusters, respectively. This approach is an alternative and independent way to examine the slopes of mass density profiles of halos. We present calculations of lensing probabilities using these GNFW profiles for three populations in various spatially flat cosmological models with a cosmological constant $\Lambda$. It is shown that the compound model of density profiles does not match well with the observed lensing probabilities derived from the Jodrell-Bank VLA Astrometric Survey data in combination with the Cosmic Lens All-Sky Survey data. Together with the previous work on lensing probability, our results suggest that a singular isothermal sphere mass model of less than about $10^{13}h^{-1}M_{\sun}$ can predict strong lensing probabilities that are consistent with observations of small splitting angles.

11 pages, 2 figures, Accepted by ApJL for publication (February 10 issue 2004)

References in corpus (9)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• The Cosmic Lens All-Sky Survey: I. Source selection and observations
• The Cosmic Lens All-Sky Survey:II. Gravitational lens candidate selection and follow-up
• Constraints on Cosmological Parameters from the Analysis of the Cosmic Lens All Sky Survey Radio-Selected Gravitational Lens Statistics
• Strong gravitational lensing and galactic bulges
• Gravitational Lensing by a Compound Population of Halos: Standard Models
• Strong gravitational lensing: why no central black holes?
• Schechter vs. Schechter: Sub-Arcsecond Gravitational Lensing and Inner Halo Profiles

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• Entropy principle and complementary second law of thermodynamics for self-gravitating systems
• Scalar field haloes as gravitational lenses
• Strong lensing probability in TeVeS theory
• Cusp-core problem and strong gravitational lensing
• Nonsingular density profiles of dark matter halos and Strong gravitational lensing
• Contradiction between strong lensing statistics and a feedback solution to the cusp/core problem
• Baryon effects on the dark matter halos constrained from strong gravitational lensing
• Second-order solutions of the equilibrium statistical mechanics for self-gravitating systems
• Strong Lensing Probabilities in a Cosmological Model with a Running Primordial Power Spectrum
• The Mass Function of Dark Matter Haloes in a Cosmological Model with a Running Primordial Power Spectrum