Can local bulk effects explain the galactic dark matter?

TL;DR

This paper explores whether local bulk effects in a brane-world model can account for the observed dark matter phenomena in galaxies and clusters, by deriving a virial theorem and matching it with observational data.

Contribution

It introduces a brane-world model without mirror symmetry to explain galactic dark matter through local bulk effects generating a geometrical mass.

Findings

Local bulk effects produce a geometrical mass consistent with dark matter

The model's parameters align with observational data

Provides an alternative explanation for virial mass discrepancy

Abstract

We obtain the virial theorem within the context of a brane-world model without mirror symmetry or any form of junction condition. Taking a constant curvature bulk (neglecting non-local bulk effects), the local bulk effects generate a geometrical mass, contributing to the gravitational energy which may be used to explain the virial mass discrepancy in clusters of galaxies. We fix the parameter of this model in agreement with observational data.