A Model of f(R) Gravity as an Alternative for Dark Matter in Spiral Galaxies

TL;DR

This paper derives a metric f(R) gravity model that explains flat rotation curves in spiral galaxies without dark matter, aligning with key astrophysical relations like Tully-Fisher and MOND.

Contribution

It introduces a generic f(R) gravity action consistent with galactic rotation curves, providing an alternative explanation to dark matter.

Findings

Solutions match observed flat rotation curves

Consistent with Tully-Fisher relation

Aligns with modified Newtonian dynamics

Abstract

In this paper we study consistent solutions of spherically symmetric space in metric f(R) gravity theory. Here we inversely obtain a generic action from metric solutions that describe flat rotation curves in spiral galaxies without dark matter. Then we show that obtained solutions are in conformity with Tully-Fisher relation and modified Newtonian dynamics, which are two strong constraints in justification of flat rotation curves in spiral galaxies.