Modified Gravity in the framework of holographic dark energy

TL;DR

This paper explores how modified gravity theories within the holographic dark energy framework can produce viable cosmological trajectories, including accelerated expansion, that are not possible in traditional $f(R)$ models.

Contribution

It demonstrates that incorporating holographic dark energy enriches the dynamics of modified gravity models, enabling successful cosmological solutions.

Findings

Holographic framework allows for accelerated and matter-dominated points in $f(R)$ models.

Analysis of the Hu-Sawicki model within this framework shows new viable trajectories.

Stability analysis identifies conditions for successful cosmological evolution.

Abstract

The modified gravity is considered in the framework of the holographic dark energy. An analysis of the autonomous system, the critical points and their stability is presented. Unlike the dark energy models based on $f(R)$, it is found that working in the holographic frame enriches the possibility of accelerated and matter type points for different cosmological scenarios, making viable trajectories of successful $f(R)$ models that are not allowed without the consideration of the holographic framework. The implications for the Hu-Sawicki model are analyzed.