Dark matter according to the tensor-four-scalars theory

TL;DR

This paper explores a modified gravity theory derived from massive gravity, revealing a dark matter profile with a non-universal flat core, which impacts galaxy rotation curves.

Contribution

It analyzes static, spherically symmetric solutions in a tensor-four-scalars gravity theory, linking the vector field to dark matter profiles.

Findings

Predicts a flat dark matter density core at small radii.

Dark density profile varies and is not universal.

Provides circular velocity profiles from geodesic analysis.

Abstract

Massive gravity previously constructed as the spin-2 quantum gauge theory leads in the mass zero limit to a modification of general relativity. As a relic from the massive theory a vector field v survives which couples to the metric only. However, the coupling does not involve covariant derivatives so that v must be considered as 4 scalar fields. We analyse the static, spherically symmetric solutions of this theory. From the corresponding geodesics we find the circular velocity profile. Interpreting this as coming from a dark density profile, the theory predicts a flat density core for r going to 0. But the dark density profile is not universal.