2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/34990Standard general relativity fails to take into account the changes in coordinates induced by the variation of metric in the Hilbert action principle. We propose to include such changes by introducing a fundamental compensating tensor field and modifying the usual variational procedure.3 pages, no figures; some changes; typos correctedGeneral Relativity and Quantum CosmologyModified Einstein equationstext