Detecting Dark Matter Cores in Galaxy Clusters with Strong Lensing

Abstract

We test the ability of strong lensing data to constrain the size of a central core in the dark matter halos of galaxy clusters, using Abell 611 as a prototype. Using simulated data, we show that modeling a cluster halo with ellipticity in the gravitational potential can bias the inferred mass and concentration, which may bias the inferred central density when weak lensing or X-ray data are added. We also the highlight the possibility for spurious constraints on the core size if the radial density profile is different from the assumed model. These systematics can be ameliorated if central images are present in the data. Applying our methodology to Abell 611 and imposing a reasonable prior on the stellar mass-to-light ratio restricts the core size to be less than about 4 kpc, with a minimum reduced ${\chi }^2$ of 0.28 for 0."2 positional errors. Such small cores imply a constraint on the dark matter self-interaction cross section of the order of $0.1\mathrm{c}{\mathrm{m}}^2/g$ at relative velocities of about 1500 km/s.

23 pages, 14 figures

References in corpus (15)

• Measuring the inclination and mass-to-light ratio of axisymmetric galaxies via anisotropic Jeans models of stellar kinematics
• Hubble Space Telescope Combined Strong and Weak Lensing Analysis of the CLASH Sample: Mass and Magnification Models and Systematic Uncertainties
• Cluster Lenses
• The dark matter halos of massive, relaxed galaxy clusters observed with Chandra
• Separating baryons and dark matter in cluster cores: a full 2-D lensing and dynamic analysis of Abell 383 and MS2137-23
• Variations of the stellar initial mass function in the progenitors of massive early-type galaxies and in extreme starburst environments
• The effect of baryons on the inner density profiles of rich clusters
• IMF shape constraints from stellar populations and dynamics from CALIFA
• Mass distribution in the core of MACS J1206: robust modeling from an exceptionally large sample of central multiple images
• The Stellar Initial Mass Function in Early-Type Galaxies From Absorption Line Spectroscopy. IV. A Super-Salpeter IMF in the center of NGC 1407 from Non-Parametric Models
• Mass Distribution in Galaxy Cluster Cores
• Radial gradients in initial mass function sensitive absorption features in the Coma brightest cluster galaxies
• Mass profile decomposition of the Frontier Fields cluster MACS J0416-02403. Insights on the Dark-Matter inner profile
• Abell 611. II. X-ray and strong lensing analyses
• The flat density profiles of massive, and relaxed galaxy clusters

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• RXJ0437+00: Constraining Dark Matter with Exotic Gravitational Lenses
• Scaling relations for dark matter core density and radius from Chandra X-ray cluster sample
• Constraints on Self-Interacting dark matter from relaxed galaxy groups