The Holographic cosmology with axion field

TL;DR

This paper explores holographic cosmology models involving an axion F(R) gravity framework, analyzing viscous dark fluid dynamics, stability, and different cosmological scenarios like Little Rip and bounce models.

Contribution

It introduces a holographic description of viscous dark fluid coupled with axion matter in F(R) gravity, analyzing stability and cosmological solutions.

Findings

Derived analytical infrared cutoffs for various cosmological models.

Established a correspondence between viscous fluid cosmology and holographic cosmology.

Analyzed stability of solutions in non-interacting and interacting dark fluid models.

Abstract

In present article we consider an axion F(R) gravity model and described with the help of holographic principle the cosmological models of viscous dark fluid coupled with axion matter in a spatially flat Friedmann-Robertson-Walker (FRW) universe. This description based on generalized infrared-cutoff holographic dark energy, proposed by Nojiri and Odintsov. We explored the Little Rip, the Pseudo Rip, and the power-law bounce cosmological models in terms of the parameters of the inhomogeneous equation of the state of viscous dark fluid and calculated the infrared cutoffs analytically. We represented the energy conservation equation for the dark fluid from a holographic point of view and showed a correspondence between the cosmology of a viscous fluid and holographic cosmology. We analyzed the autonomous dynamic system. In the absence of interaction between fluids, solutions are obtained corresponding to two cases. In the first case, dark energy is missing and the extension describes the component of dark matter. The second case corresponds to cosmological models with an extension due to dark energy. The solutions obtained are investigated for stability. For a cosmological model with the interaction of a special type, the stability of solutions of the dynamic system is also investigated.