Galaxy rotation curves in the light of the Spinor Theory of Gravity

TL;DR

This paper explores how the Spinor Theory of Gravity can explain galaxy rotation curves without dark matter by deriving a solution that mimics dark matter halo profiles.

Contribution

It introduces a static, spherically symmetric solution of STG with a Newtonian potential featuring a logarithmic term, offering an alternative explanation for galaxy rotation curves.

Findings

The STG solution produces rotation curves similar to dark matter halo profiles.

The effective potential in STG exhibits a logarithmic behavior in the weak field limit.

The approach provides a new perspective on gravity's role in galaxy dynamics.

Abstract

We analyze the recently obtained static and spherically symmetric solution of the Spinor Theory of Gravity (STG) which, in the weak field limit, presents an effective Newtonian potential that contains an extra logarithmic behavior. We apply this solution to the description of the galaxy rotation curves finding an interesting analogy with the dark matter halo profile proposed by Navarro, Frenk and White.