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

TL;DR

This paper explores entropy-corrected Ricci holographic dark energy models with viscosity and interaction in a non-flat universe, analyzing their dynamics and correspondence with scalar fields and modified Chaplygin gas.

Contribution

It introduces logarithmic and power-law entropy corrections to Ricci holographic dark energy models and studies their cosmological implications and scalar field correspondences.

Findings

Derived equations for EoS parameter, deceleration parameter, and energy density evolution.

Established correspondence with scalar fields like tachyon, K-essence, dilaton, and quintessence.

Compared models with previous results to validate findings.

Abstract

In this work, I consider the logarithmic-corrected and the power-law corrected versions of the holographic dark energy (HDE) model in the non-flat FRW universe filled with a viscous Dark Energy (DE) interacting with Dark Matter (DM). We propose to replace the infra-red cut-off with the inverse of the Ricci scalar curvature $R$. I obtain the equation of state (EoS) parameter $\omega_{\Lambda}$, the deceleration parameter $q$ and the evolution of energy density parameter $\Omega_D'$ in the presence of interaction between DE and DM for both corrections. I study the correspondence of the logarithmic entropy corrected Ricci Dark Dnergy (LECRDE) and power-law entropy corrected Ricci Dark Energy (PLECRDE) models with the the Modified Chaplygin Gas (MCG) and some scalar fields including tachyon, K-essence, dilaton and quintessence. I also make comparisons with previous results.