Holographic modified gravity

TL;DR

This paper explores how holographic dark energy models can be integrated into modified gravity theories, specifically $f(R)$ gravity, to produce phantom-like equations of state in a flat universe.

Contribution

It introduces a reconstruction scheme for $f(R)$ gravity based on holographic dark energy, demonstrating the crossing of the equation of state parameter over -1.

Findings

Holographic dark energy can produce $w_{\Lambda}$ crossing -1 in flat universe.

A reconstruction method for $f(R)$ gravity compatible with holographic dark energy is developed.

The model supports phantom-like behavior in modified gravity cosmology.

Abstract

In this paper we study cosmological application of holographic dark energy density in the modified gravity framework. We employ the holographic model of dark energy to obtain the equation of state for the holographic energy density in spatially flat universe. Our calculation show, taking $\Omega_{\Lambda}=0.73$ for the present time, it is possible to have $w_{\rm \Lambda}$ crossing -1. This implies that one can generate phantom-like equation of state from a holographic dark energy model in flat universe in the modified gravity cosmology framework. Also we develop a reconstruction scheme for the modified gravity with $f(R)$ action.