Mimicking Dark Matter

TL;DR

This paper proposes a simple Newtonian-based model that, when extended to approximate general relativity, can replicate dark matter's key properties, including halo formation, non-interaction, size dependence, and light influence.

Contribution

It introduces a minimalistic model within Newtonian physics extended to approximate general relativity that mimics dark matter's main features.

Findings

Dark matter forms halos around ordinary matter

Dark matter does not interact with matter or itself

Dark matter influences light propagation

Abstract

I show that a very simple model in the context of Newtonian physics promoted to a first approximation of general relativity can mimic Dark matter and explain most of its intriguing properties. Namely: i) Dark matter is a halo associated to ordinary matter; ii) Dark matter does not interact with ordinary matter nor with itself; iii) Its influence grows with the size of the aggregate of ordinary matter that is considered, and iv) Dark matter influences the propagation of light.