The Redshift-Dependence of Radial Acceleration: Modified Gravity versus Particle Dark Matter

Abstract

Modified Newtonian Dynamics has one free parameter and requires an interpolation function to recover the normal Newtonian limit. We here show that this interpolation function is unnecessary in a recently proposed covariant completion of Erik Verlinde's emergent gravity, and that Verlinde's approach moreover fixes the function's one free parameter. The so-derived correlation between the observed acceleration (inferred from rotation curves) and the gravitational acceleration due to merely the baryonic matter fits well with data. We then argue that the redshift-dependence of galactic rotation curves could offer a way to tell apart different versions of modified gravity from particle dark matter.

7 pages, 4 figures

References in corpus (8)

• The Radial Acceleration Relation in Rotationally Supported Galaxies
• Bimetric MOND gravity
• Λ CDM is Consistent with SPARC Radial Acceleration Relation
• A Covariant Version of Verlinde's Emergent Gravity
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• MOND as a regime of quantum gravity
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• ΛCDM with baryons vs. MOND: the time evolution of the universal acceleration scale in the Magneticum simulations
• MIGHTEE-HI: The radial acceleration relation with resolved stellar mass measurements
• A scalar field inducing a non-metrical contribution to gravitational acceleration and a compatible add-on to light deflection
• A Critique of Covariant Emergent Gravity
• Field equations and particle motion in covariant emergent gravity
• Dark Coincidences: Small-Scale Solutions with Refracted Gravity and MOND
• MUSE-DARK III: The evolution of the radial acceleration relation at intermediate redshifts
• The isolated elliptical galaxy NGC 5812 -- MOND or Dark Matter?
• Dwarf galaxies at the steep and faint end of the Tully Fisher relation
• Is the acceleration scale of the radial acceleration relation tracking the cosmic expansion rate?