Spiral Galaxies Rotation Curves with a Logarithmic Corrected Newtonian Gravitational Potential

TL;DR

This paper introduces a logarithmic correction to Newtonian gravity to better fit spiral galaxy rotation curves, suggesting a potential link to string theory and discussing its consistency with local physics.

Contribution

The study proposes a novel logarithmic correction to Newtonian potential that accurately models galaxy rotation curves, offering a new perspective on gravitational modifications.

Findings

Rotation curves are well fitted with the corrected potential.

A new constant in the potential correlates with galaxy data.

The correction may originate from string configurations.

Abstract

We analyze the rotation curves of 10 spiral galaxies with a newtonian potential corrected with an extra logarithmic term, using a disc modelization for the spiral galaxies. There is a new constant associated with the extra term in the potential. The rotation curve of the chosen sample of spiral galaxies is well reproduced for a given range of the new constant. It is argued that this correction can have its origin from string configurations. The compatibility of this correction with local physics is discussed.