2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/199633We apply the Gauss-Codacci formalism to brane worlds scenario within the framework of Brans-Dicke gravity. The compactification is taken from six to five dimensions in order to formalize brane-world models with hybrid compactification in scalar-tensor theories.11 pages, no figures. Accepted for publication in the European Physical Journal CHigh Energy Physics - Theorytext