Holographic description of F(R) gravity coupled with axion dark matter

Abstract

In this work, we study the autonomous dynamical system of different [Formula: see text] 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 [Formula: see text] gravity in flat and non-flat FRW background and for [Formula: see text] coupling axion dark matter. Each fixed point component can be taken as a condition on the cut-off and on the expression of [Formula: see text], leading to physically interesting constraints on these functions.