Non-flat universe and interacting dark energy model

TL;DR

This paper explores an interacting holographic dark energy model in a non-flat universe, showing it cannot support a transition from dark energy to phantom energy, with implications for cosmological models.

Contribution

It introduces an effective equation of state approach for interacting holographic dark energy in non-flat universes and analyzes its implications.

Findings

Interacting holographic dark energy cannot transition to phantom regime in non-flat universe

Effective equations of state are used to analyze the model

The model constrains dark energy behavior in non-flat cosmologies

Abstract

For non-flat universe of $k\not=0$, we investigate a model of the interacting holographic dark energy with cold dark matter (CDM). There exists a mixture of two components arisen from decaying of the holographic dark energy into CDM. In this case we use the effective equations of state ($\omega^{\rm eff}_{\rm \Lambda}, \omega^{\rm eff}_{\rm m}$) instead of the native equations of state ($\omega_{\rm \Lambda},\omega_{\rm m})$. Consequently, we show that interacting holographic energy models in non-flat universe cannot accommodate a transition from the dark energy to the phantom regime.