f(R) cosmological solutions with varying speed of light

TL;DR

This paper explores f(R) gravity theories to model a varying speed of light in a flat universe, deriving exact solutions and analyzing the dynamics through critical points, revealing how the speed of light evolves.

Contribution

It introduces a novel approach to incorporate varying speed of light within f(R) gravity and provides exact solutions and dynamical analysis of such models.

Findings

Exact solutions for f(R) models with varying speed of light.

Dynamical system analysis of the model's behavior.

Characterization of the speed of light evolution.

Abstract

We consider f(R) modified gravity theories for describing varying speed of light in a spatially flat FRW model, and find some exact solutions. Also we examine the dynamics of this model by dynamical system method assuming a LambdaCDM background and we find some exact solutions by considering the character of critical points of the theory in both formalisms. The behaviour of the speed of light is obtained.