A note on cosmological features of modified Newtonian potentials

TL;DR

This paper explores modified Newtonian potentials within cosmology, deriving new Friedmann equations that could explain galaxy rotation curves and cosmic acceleration, suggesting dark matter and dark energy might share origins.

Contribution

It introduces modified Newtonian potentials into cosmological equations, linking galaxy dynamics and universe acceleration in a unified framework.

Findings

Modified potentials can model galaxy rotation curves.

Some potentials account for accelerated cosmic expansion.

Dark matter and dark energy may have common origins.

Abstract

Considering some modified Newtonian potentials and the Hubble law in writing the total energy of a test mass located at the edge of a flat Friedmann-Robertson-Walker universe, we obtain several modified Friedmann equations. Interestingly enough, our study shows that the employed potentials, while some of them have some successes in modelling the spiral galaxies rotation curves, may also address an accelerated universe. This fact indicates that dark energy and dark matter may have some common origins and aspects.