Consequences of three modified forms of holographic dark energy models in bulk-brane interaction

TL;DR

This study explores how three modified holographic dark energy models behave in a brane-world scenario with bulk interaction, analyzing their equations of state and evolution under different scale factors.

Contribution

It derives the EoS parameters for three holographic dark energy models considering brane-bulk interaction and different scale factors, highlighting their distinct evolutionary behaviors.

Findings

Dark energy contribution varies with scale factor type.

EoS parameter behavior differs between emergent and power-law scenarios.

Modified models show nontrivial effects from brane-bulk interaction.

Abstract

In this paper, we study the effects which are produced by the interaction between a brane Universe and the bulk in which the Universe is embedded. Taking into account the effects produced by the interaction between a brane Universe and the bulk, we derived the Equation of State (EoS) parameter $\omega_D$ for three different models of Dark Energy (DE), \emph{i.e.} the Holographic DE (HDE) model with infrared (IR) cut-off given by the Granda-Oliveros cut-off, the Modified Holographic Ricci DE (MHRDE) model and a DE model which is function of the Hubble parameter $H$ squared and to higher derivatives of $H$. Moreover, we have considered two different cases of scale factor (namely, the power law and the emergent ones). A nontrivial contribution of the DE is observed to be different from the standard matter fields confined to the brane. Such contribution has a monotonically decreasing behavior upon the evolution of the Universe for the emergent scenario of the scale factor, while monotonically increasing for the power-law form of the scale factor $a(t)$.