2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/138904In this paper, we present a framework for getting a series of exact vacuum solutions to the Einstein equation. This procedure of resolution is based on a canonical form of the metric. According to this procedure, the Einstein equation can be reduced to some 2-dimensional Laplace-like equations or rotation and divergence equations, which are much convenient for the resolution.11 pages, no figures, submitted to Chinese Annals of MathematicsGeneral Physicstext