Holographic hessence models

TL;DR

This paper explores the evolution and potential reconstruction of holographic hessence models, which can naturally cross the phantom divide, and discusses their behavior under different parameter conditions in relation to observational data.

Contribution

It provides a detailed analysis of the holographic hessence model's evolution, especially regarding the equation of state crossing -1, and reconstructs the potential considering current observational constraints.

Findings

For c ≥ 1, the model behaves like quintessence with w ≥ -1.

For c < -1, w evolves from > -1 to < -1, indicating phantom-like behavior.

The potential is nonmonotonic, rolling down then climbing up over time.

Abstract

We discuss the evolution of holographic hessence model, which satisfies the holographic principle and can naturally realizes the equation of state crossing -1. By discussing the evolution of the models in the $w w'$ plane, we find that, if $c\geq1$, $w_{he}\geq-1$ and $\dot{V}<0$ keep for all time, which are quintessence-like. However, if $c<-1$, which mildly favors the current observations, $w_{he}$ evolves from $w_{he}>-1$ to $w_{he}<-1$, and the potential is a nonmonotonic function. In the earlier time, the potential must be rolled down, and then be climbed up. Considered the current constraint on the parameter $c$, we reconstruct the potential of the holographic hessence model.