2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/7717Analysis of the gravitational source for the Schwarzschild metric indicates that the time and the radial components of the energy momentum tensor are equal. Imposing such a condition on cosmology, we propose a cosmological model that is a modification of the Friedman-Robertson-Walker (FRW) universe. An accelerating universe emerges as a natural consequence of this ansatz.12 pages, no figuresAstrophysicstext