Self-accelerating the normal DGP branch

TL;DR

This paper introduces a generalized brane-world model with an f(R) term in the brane action, demonstrating its role in enabling self-acceleration of the normal DGP branch without phantom matter, and analyzing stability and power-law solutions.

Contribution

It extends the DGP model by incorporating an arbitrary f(R) term, revealing its impact on brane dynamics and self-acceleration mechanisms.

Findings

The f(R) term causes an evolving induced gravity parameter.

A new shift in brane energy density enables self-acceleration.

Power law solutions include both standard and super-acceleration without phantom matter.

Abstract

We propose a generalised induced gravity brane-world model where the brane action contains an arbitrary f(R) term, R being the scalar curvature of the brane. We show that the effect of the f(R)term on the dynamics of a homogeneous and isotropic brane is twofold: (i) an evolving induced gravity parameter and (ii) a shift on the energy density of the brane. This new shift term, which is absent on the Dvali, Gabadadze and Porrati (DGP) model, plays a crucial role to self-accelerate the generalised normal DGP branch of our model. We analyse as well the stability of de Sitter self-accelerating solutions under homogeneous perturbations and compare our results with the standard 4-dimensional one. Finally, we obtain power law solutions which either correspond to conventional acceleration or super-acceleration of the brane. In the latter case, no phantom matter is invoked on the brane nor in the bulk.