The dynamical behavior of the Extended Holographic Dark Energy with Hubble Horizon

TL;DR

This paper explores an extended holographic dark energy model incorporating a scalar field potential, which overcomes previous limitations and provides a viable dark energy scenario with attractor solutions.

Contribution

It introduces a potential for the Brans-Dicke scalar field in the holographic dark energy model, enabling it to evade the no-go theorem and become a feasible dark energy model.

Findings

The model admits a dark energy dominated attractor solution.

Inclusion of the scalar potential overcomes the no-go theorem.

The model remains consistent with the Hubble horizon as IR cutoff.

Abstract

The extended holographic dark energy model with the Hubble horizon as the infrared cutoff avoids the problem of the circular reasoning of the holographic dark energy model. Unfortunately, it is hit with the no-go theorem. In this paper, we consider the extended holographic dark energy model with a potential, $V(\phi)$, for the Brans-Dicke scalar field. With the addition of a potential for the Brans-Dicke scalar field, the extended holographic dark energy model using the Hubble horizon as the infrared cutoff is a viable dark energy model, and the model has the dark energy dominated attractor solution.