2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/229877We obtain the effective field equations in a brane-world scenario within the framework of a DGP model where the action on the brane is an arbitrary function of the Ricci scalar, ${\cal L}(R)$, and the bulk action includes a scalar field in the matter Lagrangian. We obtain the Friedmann equations and acceleration conditions in the presence of the bulk scalar field for the $R^n$ term in four-dimensional gravity.9 pages, to appear in JCAPGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theorytext