Scalar fields properties for flat galactic rotation curves

TL;DR

This paper identifies a class of minimally coupled massive scalar fields that can explain flat galactic rotation curves, linking them to scalar-tensor theories and analyzing their stability and properties.

Contribution

It introduces a specific class of scalar fields responsible for flat rotation curves and explores their relation to scalar-tensor theories and stability under perturbations.

Findings

Scalar fields can produce flat galactic rotation curves.

The metric associated with these fields is derived and analyzed.

Stability tests show robustness against perturbations.

Abstract

The whole class of minimally coupled and massive scalar fields which may be responsible for flattening of galactic rotation curves is found. An interesting relation with a class of scalar-tensor theories able to isotropise anisotropic models of Universe is shown. The resulting metric is found and its stability and scalar field properties are tested with respect to the presence of a second scalar field or a small perturbation of the rotation velocity at galactic outer radii.