Dark Matter and Charged Exotic Dust

TL;DR

This paper demonstrates that dark matter halos can be modeled as exact solutions of Einstein-Maxwell equations with exotic charged dust, suggesting charged particles could still be viable dark matter candidates despite their small charge-to-mass ratio.

Contribution

It establishes a novel exact solution linking dark matter halo profiles to charged dust in Einstein-Maxwell theory, expanding potential dark matter models.

Findings

Model corresponds to an exact Einstein-Maxwell solution

Charged dust can be a viable dark matter candidate

Small charge-to-mass ratio does not exclude charged particles

Abstract

The density profiles of dark matter halos are often modeled by an approximate solution to the isothermal Lane-Emden equation with suitable boundary conditions at the origin. It is shown here that such a model corresponds to an exact solution of the Einstein-Maxwell equations for exotic charged dust. It is also shown that, because of its necessarily very small charge to mass ratio, the fact that the particles are charged does not necessarily rule out such material as a candidate for dark matter.