Classical gauge field as a dark matter

TL;DR

This paper proposes a model where dark matter is represented by a classical gauge field, specifically a spherical symmetric solution of Yang-Mills equations, which can explain galactic rotation curves.

Contribution

It introduces a novel dark matter model using classical gauge fields and derives solutions that match observed galactic rotation curves.

Findings

Spherical symmetric solutions of Yang-Mills equations are obtained.

Matter density distribution can be interpreted as dark matter.

Fitting of rotational curves supports the model.

Abstract

The model of dark matter is presented where the dark matter is a \emph{classical} gauge field. A spherical symmetric solution of Yang-Mills equation is obtained. The asymptotic behavior of the gauge fields and matter density is investigated. It is shown that the distribution of the matter density allows us interpret it as the dark matter. The fitting of a typical rotational curve with the rotational curve created by the spherical solution of SU(3) Yang-Mills equation is made.