2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/33625Two metric perturbations in Einstein-Cartan cosmology are examined.The first case is the scalar mode perturbation of de Sitter metric in Einstein-Cartan cosmology.In this case small perturbations of de Sitter metric shows that this metric is unstable for a universe with spin-torsion density and dilaton fields.In the second case we show that the Friedmann metric in the same space is also unstable under the small perturbations.Revised version accepted in Physics Letters BGeneral Relativity and Quantum Cosmologytext