Interacting modified holographic Ricci dark energy model and statefinder diagnosis in flat universe

TL;DR

This paper investigates a modified holographic Ricci dark energy model interacting with dark matter, deriving analytical solutions, analyzing cosmic evolution parameters, and using statefinder diagnostics to distinguish it from other models.

Contribution

It introduces three phenomenological interaction forms in the holographic Ricci dark energy model and provides analytical solutions and statefinder analysis to characterize its evolution.

Findings

Model exhibits de Sitter behavior in the far future.

Analytical solutions for three interaction models are obtained.

Model parameters are consistent with observational constraints.

Abstract

In this work we have considered the modified holographic Ricci dark energy interacting with dark matter through a non-gravitational coupling. We took three phenomenological forms for the interaction term $Q$ in the model, where in general $Q$ is proportional to the Hubble parameter and densities of the dark sectors, $\rho_{de}+\rho_m, \, \rho_m$ and $\rho_{de}$ respectively. We have obtained analytical solutions for the three interacting models, and studied the evolutions of equations of state parameter, deceleration parameter. The results are compared with the observationally constrained values for the best parameters of the model. We have also done the statefinder analysis of the model to discriminate the model from other standard models. In general we have shown that the model is showing a de Sitter type behavior in the far future of the evolution of the universe.