2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34049A new class of non-static higher dimensional vacuum solutions in space-time -mass (STM) theory of gravity is found. This solution represent expanding universe without big bang singularity and the higher dimension of these models shrinks as they expands.latex 4 pages, no figureGeneral Relativity and Quantum CosmologyHigher Dimensional Cosmological Model in Space-Time-Mass (STM) Theory of Gravitationtext