Gravity with extra dimensions and dark matter interpretation: Phenomenological example via Miyamoto-Nagai galaxy

TL;DR

This paper constructs a 4D isotropic metric with extra dimensions using Miyamoto-Nagai ansatz, successfully reproducing observed galaxy rotation curves and providing a new phenomenological model for dark matter interpretation.

Contribution

It introduces a novel extra-dimensional model that matches galaxy rotation curves without fitting, offering a new approach to dark matter phenomenology.

Findings

Successfully reproduces flat and non-flat galaxy rotation curves

Reconstructs density profiles consistent with observational data

Demonstrates the viability of extra-dimensional models in astrophysics

Abstract

A configuration whose density profile coincides with the Newtonian potential for spiral galaxies is constructed from a 4D isotropic metric plus extra dimensional components. A Miyamoto-Nagai ansatz is used to solve Einstein equations. The stable rotation curves of such system are computed and, without fitting techniques, we recover with accuracy the observational data for flat or not asymptotically flat galaxy rotation curves. The density profiles are reconstructed and compared to that obtained from the Newtonian potential.