Interacting Ricci Dark Energy with Logarithmic Correction

TL;DR

This paper explores an entropy-corrected holographic dark energy model based on Ricci scalar curvature in a non-flat universe, analyzing its dynamics, equation of state, and scalar field reconstructions with interaction between dark energy and dark matter.

Contribution

It introduces a novel entropy-corrected holographic dark energy model using Ricci scalar instead of the event horizon, and reconstructs scalar field models accordingly.

Findings

Derived the EoS parameter and deceleration parameter for the model.

Reconstructed scalar field potentials consistent with 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 density may be inversely proportional to the area $A$ of the event horizon of the universe. However, such a model would have a causality problem. In this work, we consider the entropy-corrected version of the holographic dark energy model in the non-flat FRW universe and we propose to replace the future event horizon area with the inverse of the Ricci scalar curvature. We obtain the equation of state (EoS) parameter $\omega_{\Lambda}$, the deceleration parameter $q$ and $\Omega_D'$ in the presence of interaction between Dark Energy (DE) and Dark Matter (DM). Moreover, we reconstruct the potential and the dynamics of the tachyon, K-essence, dilaton and quintessence scalar field models according to the evolutionary behavior of the interacting entropy-corrected holographic dark energy model.