Phenomenological covariant approach to gravity

TL;DR

This paper proposes a covariant modification to Einstein's gravity that explains galaxy rotation curves, the Tully-Fisher relation, and the cosmological constant with a single new parameter.

Contribution

It introduces a covariant, perturbative modification to Einstein-Hilbert action that addresses galaxy dynamics and cosmological acceleration with minimal new parameters.

Findings

Successfully reproduces flat galaxy rotation curves

Derives the Tully-Fisher relation from modified gravity

Generates a cosmological constant dynamically

Abstract

We covariantly modify the Einstein-Hilbert action such that the modified action perturbatively resolves the flat rotational velocity curve of the spiral galaxies and gives rise to the Tully-Fisher relation, and dynamically generates the cosmological constant. This modification requires introducing just a single new universal parameter.