2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35790In this brief note we present a set of equations describing the evolution of perturbed scalar fields in a cosmological spacetime with multiple scalar fields. We take into account of the simultaneously excited full metric perturbations in the context of the uniform-curvature gauge which is known to be the best choice. The equations presented in a compact form will be useful for handling the structure formation processes under the multiple episodes of inflation.2 pages, revtex, no figuresGeneral Relativity and Quantum Cosmologytext