2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34147Exact solution are obtained for a homogeneous spacially isotropic cosmological model in a matter free space with or without cosmological consant for a n-dimensional Kaluza-Klein type of metric in the rest mass varying theory of gravity proposed by Wesson[1983]. The behavior of the model is discussed.Latex 4 pages, no figureGeneral Relativity and Quantum CosmologyDe-Sitter Type of Cosmological Model in n-Dimensional Space-Time-Mass (STM) Theory of Gravitationtext