Do time delay effects explain galactic velocity profiles?

TL;DR

This paper critiques the use of time delay effects in explaining galactic velocity profiles, demonstrating within a gravitoelectromagnetic framework that such effects are not present in isotropic, time-dependent matter currents.

Contribution

It provides a theoretical critique showing that retarded gravity effects do not influence galactic velocity profiles in the considered framework.

Findings

Force on orbiting bodies is Newtonian and depends only on current matter configuration.

No time delay effects are present in isotropic, time-dependent matter currents.

The gravitoelectromagnetic analogy challenges explanations based on retarded gravity.

Abstract

Using the gravitoelectromagnetic analogy for weak gravitational fields, we critique explanations of galactic velocity profiles that invoke time delay effects (i.e. "retarded gravity"). For isotropic, time-dependent matter currents, we show within this framework that the force exerted on an orbiting body is Newtonian and due only to the instantaneous ambient matter configuration -- there are no time delay effects in such situations.