2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/194800We consider the cosmological evolution of a brane in the presence of a bulk scalar field coupled to the Ricci scalar through a term f(ϕ)R. We derive the generalized Friedmann equation on the brane in the presence of arbitrary brane and bulk-matter, as well as the scalar field equation, allowing for a general scalar potential V(phi). We focus on a quadratic form of the above non-minimal coupling and obtain a class of late-time solutions for the scale factor and the scalar field on the brane that exhibit accelerated expansion for a range of the non-minimal coupling parameter.15 pagesHigh Energy Physics - TheoryAstrophysicsHigh Energy Physics - Phenomenologytext