2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/36344An example of application of the specialized computer algebra system Grg-EC to the searching for solutions to the source-free Maxwell and Einstein--Maxwell equations is demonstrated. The solution involving five arbitrary functions of two variables is presented in explicit form (up to quadratures). An emphasis is made on the characterizing of the software utilized.42 pages, no figures, uses amssymb, a4wide, rawfonts macrosGeneral Relativity and Quantum Cosmologytext