2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36270We propose a new alternative gauge for the Einstein equations instead of the de Donder gauge, which allows in the limit of weak fields a straightforward integration of these equations. The Newtonian potential plays a new interesting role in this framework. The calculations are demonstrated explicitely for 2 simple astrophysical models.14 pages, no figures, plain LATEX, references updatedGeneral Relativity and Quantum Cosmologytext