Dark Matter Explanation from Quasi-Metric Gravity

TL;DR

This paper explores how quasi-metric gravity can explain galaxy rotation curves by deriving an effective 'dark matter' component from the gravitational field of a spinning dust disk, aligning with MOND predictions.

Contribution

It introduces a quasi-metric gravity model that naturally produces an effective dark matter component, explaining flat galaxy rotation curves without dark matter.

Findings

Derives an approximate gravitational field for a spinning dust disk

Identifies an induced surface density acting as dark matter

Achieves asymptotically flat rotation curves consistent with MOND

Abstract

The gravitational field of an isolated, axisymmetric flat disk of spinning dust is calculated approximately in the weak-field limit of quasi-metric gravity. Boundary conditions single out the exponential disk as a "preferred" physical surface density profile. Besides, collective properties of the disk, in the form of an extra "associated induced" surface density playing the role of "dark matter", also emerge. Taken as an idealized model of spiral galaxy thin disks, it is shown that including this "dark matter" into the model as a gravitating source, yields asymptotically flat rotation curves and a correspondence with MOND.