Weak Lensing of Galaxy Clusters in MOND

Abstract

We study weak gravitational lensing of galaxy clusters in terms of the MOND (MOdified Newtonian Dynamics) theory. We calculate shears and convergences of background galaxies for three clusters (A1689, CL0024+1654, CL1358+6245) and the mean profile of 42 SDSS (Sloan Digital Sky Survey) clusters and compare them with observational data. The mass profile is modeled as a sum of X-ray gas, galaxies and dark halo. For the shear as a function of the angular radius, MOND predicts a shallower slope than the data irrespective of the critical acceleration parameter $g_0$. The dark halo is necessary to explain the data for any $g_0$ and for three interpolation functions. If the dark halo is composed of massive neutrinos, its mass should be heavier than 2 eV. However the constraint still depends on the dark halo model and there are systematic uncertainties, and hence the more careful study is necessary to put a stringent constraint.

12 pages, 7 figures, references added, minor changes, accepted for publication in ApJ

References in corpus (12)

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Cited by in corpus (26)

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• A Detection of Dark Matter Halo Ellipticity using Galaxy Cluster Lensing in SDSS
• TeVeS gets caught on caustics
• Vertical dynamics of disk galaxies in MOND
• Relativistic MOND as an alternative to the dark matter paradigm
• Tests of General Relativity on Astrophysical Scales
• The relation between stellar mass and weak lensing signal around galaxies: Implications for MOND
• Strong-Lensing Analysis of MS 1358.4+6245: New Multiple Images and Implications for the Well-Resolved z=4.92 Galaxy
• Ultra-diffuse cluster galaxies as key to the MOND cluster conundrum
• An analytic model for non-spherical lenses in covariant MOdified Newtonian Dynamics
• Strong lensing probability in TeVeS theory
• Tensor-vector-scalar-modified gravity: from small scale to cosmology
• Study of gravitational fields and globular cluster systems of early-type galaxies
• A useful guide for gravitational wave observers to test modified gravity models
• Substructure lensing in galaxy clusters as a constraint on low-mass sterile neutrinos in tensor-vector-scalar theory: The straight arc of Abell 2390
• Constraints on Bose-Einstein-condensed Axion Dark Matter from The HI Nearby Galaxy Survey data
• Neutrinos as galactic dark matter in the Ursa Major galaxy group?
• Reconciliation of MOND and Dark Matter theory
• Testing the Cubic Galileon Gravity model by the Milky Way rotation curve and SPARC data
• Geometric Support for Dark Matter by an Unaligned Einstein Ring in Abell 3827
• Gravitational deflection of light in Rindler-type potential as a possible resolution to the observations of Bullet Cluster 1E0657-558
• Summary of session A4 at the GRG18 conference: Alternative Theories of Gravity
• Dynamics of clusters of galaxies with extended $f(\chi )$ gravity
• Generalization of Rindler Potential at Cluster Scales in Randers-Finslerian Spacetime: a Possible Explanation of the Bullet Cluster 1E0657-558?
• A test of MOND and Emergent Gravity with SMACS J0723.3-7327 using eROSITA observations