Curvature corrections in DGP brane cosmology

TL;DR

This paper explores a modified DGP brane cosmology with Ricci scalar functions, revealing solutions that support power-law acceleration and late-time self-inflation, depending on the Hubble radius and the function's form.

Contribution

It introduces a Ricci scalar function modification to DGP brane models and analyzes resulting cosmological solutions, including power-law acceleration and late-time self-inflation.

Findings

Existence of two solution classes for small Hubble radii.

Transition to 5D regime or self-inflation at larger Hubble radii.

Late-time acceleration depends on the Ricci scalar function parameter n.

Abstract

We consider a DGP inspired brane scenario where the action on the brane is augmented by a function of the Ricci scalar, ${\cal L}(R)$. The cosmological implications that such a scenario entails are examined for $R^{n}$ and shown to be consistent with a universe expanding with power-law acceleration. It is shown that two classes of solutions exist for the usual FRW metric and small Hubble radii. When the Hubble radius becomes larger, we either have a transition to a fully 5D regime or to a self-inflationary solution which produces a late accelerated expansion such that the radius becomes a function of $n$.