2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/178607A little known theorem due to Campbell is employed to establish the local embedding of a wide class of 4-dimensional spacetimes in 5-dimensional Ricci-flat spaces. An embedding for the class of n-dimensional Einstein spaces is also found. The local nature of Campbell's theorem is highlighted by studying the embedding of some lower-dimensional spaces.17 pages, standard Latex sourceGeneral Relativity and Quantum Cosmologytext