Scalar Fields as Dark Matter in Spiral Galaxies

TL;DR

This paper proposes a scalar field model for dark matter in spiral galaxies based on Einstein-Dilaton theory, successfully matching observed rotation curves with a specific energy density profile.

Contribution

It introduces an exact static, axially symmetric solution of Einstein-Dilaton theory modeling dark matter as a scalar field with a potential, aligning with galaxy rotation observations.

Findings

Effective energy density scales as 1/(r^2 + r_c^2)

Circular velocity profiles match observed galaxy rotation curves

Model provides a new theoretical framework for dark matter in galaxies

Abstract

We present a model for the dark matter in spiral galaxies, which is a result of a static and axial symmetric exact solution of the Einstein-Dilaton theory. We suposse that dark matter is a scalar field endowed with a scalar potential. We obtain that a) the effective energy density goes like $1/(r^2+r_{c}^{2})$ and b) the resulting circular velocity profile of tests particles is in good agreement with the observed one.