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The Einstein radius of a cluster provides a relatively model-independent measure of the mass density of a cluster within a projected radius of ~ 150 kpc, large enough to be relatively unaffected by gas physics. We show that the observed…

Astrophysics · Physics 2009-11-13 Tom Broadhurst , Rennan Barkana

The Einstein radius plays a central role in lens studies as it characterises the strength of gravitational lensing. The distribution of Einstein radii near the upper cutoff should probe the largest mass concentrations in the universe.…

Astrophysics · Physics 2010-11-02 Masamune Oguri , Roger D. Blandford

In this paper we investigate the strong lensing statistics in galaxy clusters. We extract dark matter haloes from the Millennium-XXL simulation, compute their Einstein radius distribution, and find a very good agreement with Monte Carlo…

Cosmology and Nongalactic Astrophysics · Physics 2016-07-12 Carlo Giocoli , Mario Bonamigo , Marceau Limousin , Massimo Meneghetti , Lauro Moscardini , Raul E. Angulo , Giulia Despali , Eric Jullo

We present results from strong-lens modelling of 10,000 SDSS clusters, to establish the universal distribution of Einstein radii. Detailed lensing analyses have shown that the inner mass distribution of clusters can be accurately modelled…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-09 Adi Zitrin , Tom Broadhurst , Matthias Bartelmann , Yoel Rephaeli , Masamune Oguri , Narciso Benítez , Jiangang Hao , Keiichi Umetsu

Based on techniques developed in the previous papers of this series, we investigate the impact of galaxy-cluster mergers on the order statistics of the largest Einstein radii. We show that the inclusion of mergers significantly shifts the…

Cosmology and Nongalactic Astrophysics · Physics 2014-09-17 Matthias Redlich , Jean-Claude Waizmann , Matthias Bartelmann

We present a statistical analysis of a sample of 20 strong lensing clusters drawn from the Local Cluster Substructure Survey (LoCuSS), based on high resolution Hubble Space Telescope imaging of the cluster cores and follow-up spectroscopic…

The statistics of Einstein radii for a sample of strong lenses can provide valuable constraints on the underlying mass distribution. The correct interpretation, however, relies critically on the modelling of the selection of the sample,…

Cosmology and Nongalactic Astrophysics · Physics 2024-10-30 Qing Zhou , Alessandro Sonnenfeld , Henk Hoekstra

We present the results of a strong-lensing analysis of a complete sample of 12 very luminous X-ray clusters at $z>0.5$ using HST/ACS images. Our modelling technique has uncovered some of the largest known critical curves outlined by many…

Cosmology and Nongalactic Astrophysics · Physics 2013-07-09 Adi Zitrin , Tom Broadhurst , Rennan Barkana , Yoel Rephaeli , Narciso Benitez

We study density cusps in the center of clusters of galaxies to reconcile X-ray mass estimates with gravitational lensing masses. For various mass density models with cusps we compute X-ray surface brightness distribution, and fit them to…

Astrophysics · Physics 2009-10-30 Nobuyoshi Makino , Katsuaki Asano

The Abell 1689 galaxy cluster has recently become a subject of intensive study. Thanks to its intermediate redshift (z=0.183) its mass distribution can be reconstructed using numerous methods including gravitational lensing, galaxy…

Astrophysics · Physics 2009-11-13 Ewa L. Lokas , Francisco Prada , Radoslaw Wojtak , Mariano Moles , Stefan Gottloeber

In the era of large surveys, yielding thousands of galaxy clusters, efficient mass proxies at all scales are necessary in order to fully utilize clusters as cosmological probes. At the cores of strong lensing clusters, the Einstein radius…

Cosmology and Nongalactic Astrophysics · Physics 2020-10-21 J. D. Remolina González , K. Sharon , B. Reed , N. Li , G. Mahler , L. E. Bleem , M. Gladders , A. Niemiec , A. Acebron , H. Child

A long-standing problem of strong lensing by galaxy clusters regards the observed high rate of giant gravitational arcs as compared to the predictions in the framework of the "standard" cosmological model. Recently, few other…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-27 M. Meneghetti , C. Fedeli , A. Zitrin , M. Bartelmann , T. Broadhurst , S. Gottloeber , L. Moscardini , G. Yepes

We assess a claim that observed galaxy clusters with mass ~10^14 Msun are more centrally concentrated than predicted in LCDM. We generate mock strong gravitational lensing observations, taking the lenses from a cosmological hydrodynamical…

Cosmology and Nongalactic Astrophysics · Physics 2020-06-02 Andrew Robertson , Richard Massey , Vincent Eke

The abundance and mass distribution of galaxy clusters is a sensitive probe of cosmological parameters, through the sensitivity of the high-mass end of the halo mass function to $\Omega_m$ and $\sigma_8$. While galaxy cluster surveys have…

Cosmology and Nongalactic Astrophysics · Physics 2026-04-15 M. Regamey , D. Eckert , R. Seppi , W. Hartley , K. Umetsu , S. Tam , D. Gerolymatou

Using the Einstein cluster models, we construct a fully relativistic, spherically symmetric, spiky structure of matter distribution near a supermassive black hole. We introduce and discuss three simple toy models, together with a more…

General Relativity and Quantum Cosmology · Physics 2024-10-08 Kei-ichi Maeda , Vitor Cardoso , Anzhong Wang

The Einstein radius (ER) of a gravitational lens encodes information about decisive quantities such as halo mass, concentration, triaxiality, and orientation with respect to the observer. Thus, the largest Einstein radii can potentially be…

Cosmology and Nongalactic Astrophysics · Physics 2014-05-08 Jean-Claude Waizmann , Matthias Redlich , Massimo Meneghetti , Matthias Bartelmann

Heavy particles in galaxy clusters tend to be more centrally concentrated than light ones according to the Boltzmann distribution. An estimate of the drift velocity suggests that it is possible that the helium nuclei may have entirely or…

Astrophysics · Physics 2009-10-31 Bo Qin , Xiang-Ping Wu

We present detailed simulations of long exposure CCD images. The simulations are used to explore the validity of the statistical method for reconstructing the luminosity distribution of galaxies within a rich cluster i.e. by the subtraction…

Astrophysics · Physics 2009-10-30 Simon P. Driver , Warrick J. Couch , Steven Phillipps , Rodney Smith

The halo assembly bias, a phenomenon referring to dependencies of the large-scale bias of a dark matter halo other than its mass, is a fundamental property of the standard cosmological model. First discovered in 2005 from the Millennium Run…

Cosmology and Nongalactic Astrophysics · Physics 2022-10-19 Yen-Ting Lin , Hironao Miyatake , Hong Guo , Yi-Kuan Chiang , Kai-Feng Chen , Ting-Wen Lan , Yu-Yen Chang

Can the standard cosmological model be questioned on the basis of a single observed extreme galaxy cluster? Usually, the word extreme refers directly to cluster mass, which is not a direct observable and thus subject to substantial…

Cosmology and Nongalactic Astrophysics · Physics 2012-10-31 Jean-Claude Waizmann , Matthias Redlich , Matthias Bartelmann
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