Holographic description of $F(R)$ gravity coupled with Axion Dark Matter

TL;DR

This paper explores the holographic dark energy framework applied to various $F(R)$ gravity models coupled with axion dark matter, analyzing fixed points and constraints in flat and non-flat FRW backgrounds.

Contribution

It introduces a method to analyze fixed points in $F(R)$ gravity with axion dark matter using holographic dark energy and the generalized Nojiri-Odintsov cut-off.

Findings

Explicit expressions for fixed points as functions of the infrared cut-off.

Conditions on the cut-off and $F(R)$ functions for physically meaningful solutions.

Constraints on $F(R)$ models and axion dark matter coupling from fixed point analysis.

Abstract

In this work we study the autonomous dynamical system of different $F(R)$ models in the formalism of holographic dark energy using the generalized Nojiri-Odintsov cut-off. We explicitly give the expression of the fixed points as functions of the infrared cut-off for vacuum $F(R)$ gravity in flat and non-flat FRW background and for $F(R)$ coupling axion dark matter. Each fixed point component can be taken as a condition on the cut-off and on the expression of $F(R)$, leading to physically interesting constraints on these functions.