Effective gravitational equations on brane world with induced gravity described by $f(R)$ term

TL;DR

This paper explores a generalized brane world model with induced gravity described by an $f(R)$ term, deriving effective gravitational and cosmological equations, revealing two regimes: a 5D self-accelerated branch and a 4D high-energy modified gravity regime.

Contribution

It introduces a novel generalization of DGP models with $f(R)$ gravity, deriving the effective equations and analyzing the cosmological regimes involved.

Findings

Identification of a 5D self-accelerated regime for cosmology

Derivation of effective gravitational equations on the brane

Existence of a high-energy 4D modified gravity regime

Abstract

In this article we study a generalization of DGP scenarios, where the induced gravity is given by a $f(R)$ term. We obtain the effective gravitational equations and the effective FLRW cosmological equation on the brane of this model. We show that this generalization has also two regime, a 5D regime a low energies that has a self-accelerated branch of interest for cosmology and a 4D regime at high energies that it is described a modified gravitational theory.