Reconciliation of MOND and Dark Matter theory

Abstract

I show that Modified Newtonian Dynamics (MOND) is equivalent to assuming an isothermal dark matter density profile, with its density related to the enclosed total baryonic mass. This density profile can be deduced by physical laws if a dark matter core exists and if the baryonic component is spherically-symmetric, isotropic and isothermal. All the usual predictions of MOND, as well as the universal constant $a_0$, can be derived in this model. Since the effects of baryonic matter are larger in galaxies than in galaxy clusters, this result may explain why MOND appears to work well for galaxies but poorly for clusters. As a consequence of the results presented here, MOND can be regarded as a misinterpretation of a particular dark matter density profile.

Accepted by Physical Review D

References in corpus (12)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• A direct empirical proof of the existence of dark matter
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• Are sterile neutrinos consistent with clusters, the CMB and MOND?
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• Neutrinos as cluster dark matter
• The baryonic Tully-Fisher relation and galactic outflows
• MOND plus classical neutrinos not enough for cluster lensing
• Reconciling MOND and dark matter?
• Is violation of Newton's second law possible?
• Scaling relations of the slightly self-interacting cold dark matter in galaxies and clusters

Cited by in corpus (6)

• Dark matter in galaxies
• The radial acceleration relation in galaxy clusters
• Large Distance Modification of Newtonian Potential and Structure Formation in Universe
• Modified Theory of Gravity and Clustering of Multi-Component System of Galaxies
• Radial Acceleration Relation from Ultra-light Scalar Dark matter
• Testing the Cubic Galileon Gravity model by the Milky Way rotation curve and SPARC data