Arc Statistics in Cosmological Models with Dark Energy

Abstract

We investigate how the probability of the formation of giant arcs in galaxy clusters is expected to change in cosmological models dominated by dark energy with an equation of state p=w rho c^2 compared to cosmological-constant or open models. To do so, we use a simple analytic model for arc cross sections based on the Navarro-Frenk-White density profile which we demonstrate reproduces essential features of numerically determined arc cross sections. Since analytic lens models are known to be inadequate for accurate absolute quantifications of arc probabilities, we use them only for studying changes relative to cosmological-constant models. Our main results are (1) the order of magnitude difference between the arc probabilities in low density, spatially flat and open CDM models found numerically is reproduced by our analytic model, and (2) dark-energy cosmologies with w>-1 increase the arc optical depth by at most a factor of two and are thus unlikely to reconcile arc statistics with spatially flat cosmological models with low matter density.

8 pages, accepted by A&A

References in corpus (17)

• The Mass Function of an X-Ray Flux-Limited Sample of Galaxy Clusters
• A measurement by BOOMERANG of multiple peaks in the angular power spectrum of the cosmic microwave background
• DASI First Results: A Measurement of the Cosmic Microwave Background Angular Power Spectrum
• The State of the Dark Energy Equation of State
• A High Spatial Resolution Analysis of the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• Evidence for a non-zero Lambda and a low matter density from a combined analysis of the 2dF Galaxy Redshift Survey and Cosmic Microwave Background Anisotropies
• Is cosmology consistent?
• Pseudo Elliptical Lensing Mass Model: Application to the NFW Mass Distribution
• Cluster cross sections for strong lensing: analytic and numerical lens models
• On the Incidence of Strong Gravitational Lensing by Clusters in the Las Campanas Distant Cluster Survey
• Halo Concentrations and Weak-Lensing Number Counts in Dark Energy Cosmologies
• Probing the Core Structure of Dark Halos with Tangential and Radial Arc Statistics
• Systematic Effects on Tangential and Radial Arc Statistics: The Finite Source Size and Ellipticities of the Lens and Source
• Frequentist Estimation of Cosmological Parameters from the MAXIMA-1 Cosmic Microwave Background Anisotropy Data
• Non linear predictions from linear theories in models with Dark Energy
• Rethinking Lensing and Lambda
• Cosmological parameters estimation in the Quintessence Paradigm

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• Early structure formation in quintessence models and its implications for cosmic reionisation from first stars
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• The Strongest Cluster Lenses: An Analysis of the Relation Between Strong Gravitational Lensing Strength and the Physical Properties of Galaxy Clusters
• The Detection and Statistics of Giant Arcs Behind CLASH Clusters
• Cluster Lensing of QSOs as a Probe of LCDM and Dark Energy Cosmologies
• Predicting the number of giant arcs expected in the next generation wide-field surveys from space
• Statistics of Quasars Multiply Imaged by Galaxy Clusters
• Strong lensing in the MareNostrum Universe II: scaling relations and optical depths
• Domain of validity for pseudo-elliptical NFW lens models
• Strong lensing by cluster-sized haloes in dark-energy cosmologies
• The SOAR Gravitational Arc Survey - I: Survey overview and photometric catalogs
• The effects of primordial non-Gaussianity on giant-arc statistics
• ARCRAIDER II: Arc search in a sample of non-Abell clusters
• On the abundance of gravitational arcs produced by submillimeter galaxies at radio and submm wavelengths
• Simulation-based marginal likelihood for cluster strong lensing cosmology
• On the accuracy of the Perturbative Approach for Strong Lensing: Local Distortion for Pseudo-Elliptical Models
• Cosmological parameters from lenses distance ratio
• Analytic Solutions for Navarro--Frenk--White Lens Models for Low Characteristic Convergences
• The Effects of Primordial Non-Gaussianity on Giant-Arc Statistics: A Scale Dependent Example