2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/211263We solve the Ricci-flat equations of extended general relativity to obtain an interesting class of cosmological models. The solutions are analogous to the 4D ones of Bianchi type-I of Kasner type and have significant implications for astrophysics.V2 has some minor editorial changes in the introductionGeneral Relativity and Quantum CosmologyA Class of Anisotropic Five-Dimensional Solutions for the Early Universetext