Power-Law Entropy Corrected Ricci Dark Energy and Dynamics of Scalar Fields

TL;DR

This paper explores a modified holographic dark energy model based on power-law entropy correction and Ricci scalar curvature, analyzing its dynamics, interactions, and correspondence with scalar field models in a non-flat universe.

Contribution

It introduces a power-law entropy corrected Ricci holographic dark energy model and studies its dynamics, interactions, and scalar field correspondences in a non-flat universe.

Findings

Derived the equation of state parameter and deceleration parameter.

Reconstructed scalar field potentials based on the model's evolution.

Analyzed the interaction effects between dark energy and dark matter.

Abstract

Motivated by the holographic principle, it has been suggested that the Dark Energy (DE) density can be inversely proportional to the area $A$ of the event horizon of the universe. However, this kind of model would have a casuality problem. In this work, we study the power-law entropy corrected holographic DE (PLECHDE) model in the non-flat Friedmann-Robertson-Walker universe, with the future event horizon replaced by the average radius of the Ricci scalar curvature. We derive the equation of state parameter $\omega_{\Lambda}$, the deceleration parameter $q$ and the evolution of energy density parameter $\Omega_D'$ in presence of interaction between DE and Dark Matter (DM). We consider the correspondence between our Ricci-PLECHDE model and the Modified Chaplygin Gas (MCG) and the tachyon, K-essence, dilaton and quintessence scalar fields. The potential and the dynamics of the scalar field models have been reconstructed according to the evolutionary behaviour of the interacting entropy-corrected holographic DE model.