The cosmology of an holographic induced gravity model with curvature effects

TL;DR

This paper proposes a holographic DGP brane-world model with Gauss-Bonnet curvature effects that successfully explains late-time cosmic acceleration, unlike previous models without these modifications.

Contribution

It introduces a novel combination of holographic dark energy and Gauss-Bonnet terms in the DGP model, enabling late-time acceleration in a previously non-accelerating branch.

Findings

The model achieves late-time acceleration with holographic dark energy and Gauss-Bonnet effects.

The acceleration is driven by a balance between holographic energy and geometrical effects.

Standard DGP models without these modifications cannot produce late-time acceleration.

Abstract

We present an holographic model of the Dvali-Gabadadze-Porrati scenario with a Gauss-Bonnet term in the bulk. We concentrate on the solution that generalises the normal Dvali-Gabadadze-Porrati branch. It is well known that this branch cannot describe the late-time acceleration of the universe even with the inclusion of a Gauss-Bonnet term. Here, we show that this branch in the presence of a Gauss-Bonnet curvature effect and an holographic dark energy with the Hubble scale as the infra-red cutoff can describe the late-time acceleration of the universe. It is worthwhile to stress that such an energy density component cannot do the same job on the normal Dvali-Gabadadze-Porrati branch (without Gauss-Bonnet modifications) nor in a standard 4-dimensional relativistic model. The acceleration on the brane is also presented as being induced through an effective dark energy which corresponds to a balance between the holographic one and geometrical effects encoded through the Hubble parameter.