Abstract

We obtain the effective field equations in a brane-world scenariowithin the framework of a DGP model where the action on the brane isan arbitrary function of the Ricci scalar, ℒ(R), and thebulk action includes a scalar field in the matter Lagrangian. Weobtain the Friedmann equations and acceleration conditions in thepresence of the bulk scalar field for the Rn term infour-dimensional gravity.

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