Testing MONDian Dark Matter with Galactic Rotation Curves

Abstract

MONDian dark matter (MDM) is a new form of dark matter quantum that naturally accounts for Milgrom's scaling, usually associated with modified Newtonian dynamics (MOND), and theoretically behaves like cold dark matter (CDM) at cluster and cosmic scales. In this paper, we provide the first observational test of MDM by fitting rotation curves to a sample of 30 local spiral galaxies (z approximately 0.003). For comparison, we also fit the galactic rotation curves using MOND, and CDM. We find that all three models fit the data well. The rotation curves predicted by MDM and MOND are virtually indistinguishable over the range of observed radii (~1 to 30 kpc). The best-fit MDM and CDM density profiles are compared. We also compare with MDM the dark matter density profiles arising from MOND if Milgrom's formula is interpreted as Newtonian gravity with an extra source term instead of as a modification of inertia. We find that discrepancies between MDM and MOND will occur near the center of a typical spiral galaxy. In these regions, instead of continuing to rise sharply, the MDM mass density turns over and drops as we approach the center of the galaxy. Our results show that MDM, which restricts the nature of the dark matter quantum by accounting for Milgrom's scaling, accurately reproduces observed rotation curves.

Preprint number IPMU13-0147. Accepted for publication in ApJ

References in corpus (10)

• Planck 2013 results. XV. CMB power spectra and likelihood
• Dark matter and cosmic structure
• On the local dark matter density
• Galactic Searches for Dark Matter
• Fermi LAT Search for Dark Matter in Gamma-ray Lines and the Inclusive Photon Spectrum
• On the Proof of Dark Matter, the Law of Gravity and the Mass of Neutrinos
• Tidal dwarf galaxies as a test of fundamental physics
• Where are the ``Missing'' Galactic Baryons?
• External field effect of modified Newtonian dynamics in the Solar system
• Newtonian gravity in loop quantum gravity

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• Quantum Foam, Gravitational Thermodynamics, and the Dark Sector
• Modified Dark Matter: Relating Dark Energy, Dark Matter and Baryonic Matter
• Effects of bosonic and fermionic $q$-deformation on the entropic gravity
• Testing Modified Dark Matter with Galaxy Clusters: Does Dark Matter know about the Cosmological Constant?
• The Local Group as a test system for Modified Newtonian Dynamics
• Entropy and Gravitation: From Black Hole Computers to Dark Energy and Dark Matter
• Modified Dark Matter in Galaxies and Galaxy Clusters
• Observable Effects of Quantum Gravity