2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/127552The equations that govern the dynamics of the universe in the modified unimodular theory of gravity are derived. We find a mechanism for inflation in the early universe without postulating a false vacuum state during the first $10^{-35}$ seconds after the Big Bang. In addition, we find a natural explanation for the acceleration of the universe without resorting to dark energy.General Relativity and Quantum CosmologyAstrophysicstext