2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/71420Essentially, some conditions for the Riemannian factor and the warping function of a standard static space-time are obtained in order to guarantee that no nontrivial warping function on the Riemannian factor can make the standard static space-time Einstein.16 pages, submitted to Nonlinear Analysis TMAFunctional AnalysisGeneral Relativity and Quantum CosmologyAnalysis of PDEsDifferential Geometry53C25, 53C50, 53C80text