Reconstruction of f(R) gravity with ordinary and Entropy-corrected (m,n)-type Holographic dark energy model

TL;DR

This paper reconstructs f(R) gravity models based on ordinary and entropy-corrected (m,n)-type holographic dark energy, analyzing their evolution and stability through numerical plots and sound speed calculations.

Contribution

It introduces a novel reconstruction scheme linking f(R) gravity with holographic dark energy, including entropy corrections, and assesses model stability.

Findings

Reconstructed f(R) models match holographic dark energy behavior.

Models exhibit stable evolution under certain conditions.

Plots illustrate the dynamic behavior of the models.

Abstract

In this assignment we will present a reconstruction scheme between f(R) gravity with ordinary and entropy corrected (m,n)-type holographic dark energy. The correspondence is established and expressions for the reconstructed f(R) models are determined. To study the evolution of the reconstructed models plots are generated. The stability of the calculated models are also investigated using the squared speed of sound in the background of the reconstructed gravities.