On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos

Abstract

We develop a new method to predict the density associated with weak lensing maps of (un)relaxed clusters in a range of theories interpolating between GR and MOND (General Relativity and Modified Newtonian Dynamics). We apply it to fit the lensing map of the bullet merging cluster 1E0657-56, in order to constrain more robustly the nature and amount of collisionless matter in clusters {\it beyond} the usual assumption of spherical equilibrium (Pointecouteau & Silk 2005) and the validity of GR on cluster scales (Clowe et al. 2006). Strengthening the proposal of previous authors we show that the bullet cluster is dominated by a collisionless -- most probably non-baryonic -- component in GR as well as in MOND, a result consistent with the dynamics of many X-ray clusters. Our findings add to the number of known pathologies for a purely baryonic MOND, including its inability to fit the latest data from the Wilkinson Microwave Anisotropy Probe. A plausible resolution of all these issues and standard issues of Cold Dark Matter with galaxy rotation curves is the "marriage" of MOND with ordinary hot neutrinos of 2eV. This prediction is just within the GR-independent maximum of neutrino mass from current $\beta$-decay experiments, and is falsifiable by the Karlsruhe Tritium Neutrino (KATRIN) experiment by 2009. Issues of consistency with strong lensing arcs and the large relative velocity of the two clusters comprising the bullet cluster are also addressed.

4 pages, 1 figure, accepted for publication in ApJL. Added a simple model of the bullet cluster's high velocity in TeVeS, and discussions of sterile neutrinos and of non-uniqueness of the lensing deprojection

References in corpus (14)

• A direct empirical proof of the existence of dark matter
• Relativistic gravitation theory for the MOND paradigm
• Direct constraints on the dark matter self-interaction cross-section from the merging galaxy cluster 1E0657-56
• Modified Newtonian Dynamics in the Milky Way
• Strong and weak lensing united III: Measuring the mass distribution of the merging galaxy cluster 1E0657-56
• Large Scale Structure in Bekenstein's theory of relativistic Modified Newtonian Dynamics
• Clusters of galaxies with modified Newtonian dynamics (MOND)
• Refining MOND interpolating function and TeVeS Lagrangian
• Can MOND take a bullet? Analytical comparisons of three versions of MOND beyond spherical symmetry
• New constraints on MOND from galaxy clusters
• Problems for MOND in Clusters and the Ly-alpha Forest
• Testing Bekenstein's Relativistic MOND gravity with Lensing Data
• How Rare is the Bullet Cluster?
• Confrontation of MOND Predictions with WMAP First Year Data

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