Dark Coriolis Fields

TL;DR

This paper proposes that Coriolis-like fields, arising from an extended post-Newtonian framework in General Relativity, could explain galaxy rotation curves traditionally attributed to dark matter.

Contribution

It introduces Dark Coriolis Fields as a novel gravitational effect that can mimic dark matter in galaxy rotation curves within a modified post-Newtonian approach.

Findings

Dark Coriolis Fields can sustain flat galaxy rotation curves.

Solutions describe velocity profiles consistent with observations.

Coriolis effects may account for dark matter phenomena without new particles.

Abstract

We argue that the standard post-Newtonian expansion scheme used in General Relativity leaves room for time-space components $g_{ti}$ of the metric to be of the same order of the usual gravitational potential. We explore this possibility and find that such leading order contributions to $g_{ti}$ are related to the Coriolis field of Newton-Cartan gravity. We investigate the possibility that Coriolis fields mimic dark matter effects in disk galaxies. We find solutions from their field equations that sustain the velocity rotation curves in the bulge region and beyond it, notably describing flattish velocity profiles. We dub such solutions Dark Coriolis Fields.