Holographic Cosmological Models on the Braneworld

TL;DR

This paper investigates holographic cosmological models on a braneworld, deriving equations for the Hubble parameter that reveal different behaviors based on the holographic parameter and brane tension sign.

Contribution

It introduces a new analysis of holographic energy density in a closed universe within the braneworld framework, highlighting the impact of the holographic parameter and brane tension.

Findings

Different physical behaviors depending on the value of c^2

Hubble parameter equations derived for various scenarios

Insights into the role of brane tension in cosmological evolution

Abstract

In this article we have studied a closed universe which a holographic energy on the brane whose energy density is described by $\rho (H) =3c^{2}H^{2}$ and we obtain an equation for the Hubble parameter, this equation gave us different physical behavior depending if $c^2>1$ or $c^2<1$ against of the sign of the brane tension.