A more general interacting model of holographic dark energy

TL;DR

This paper extends the holographic dark energy model to include interactions with dark matter, deriving analytic cosmic parameters and exploring how different parameters influence cosmic expansion.

Contribution

It introduces a more general interacting holographic dark energy model that incorporates the derivative of the Hubble scale, expanding upon previous models.

Findings

Derived analytic forms for cosmic parameters under interaction.

Constrained model parameters based on cosmic expansion behaviors.

Maintained consistency with previous holographic dark energy models.

Abstract

So far, there have been no theories or observational data that deny the presence of interaction between dark energy and dark matter. We extend naturally the holographic dark energy (HDE) model, proposed by Granda and Oliveros, in which the dark energy density includes not only the square of the Hubble scale, but also the time derivative of the Hubble scale to the case with interaction and the analytic forms for the cosmic parameters are obtained under the specific boundary conditions. The various behaviors concerning the cosmic expansion depend on the introduced numerical parameters which are also constrained. The more general interacting model inherits the features of the previous ones of HDE, keeping the consistency of the theory.