2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114881Consistency of $GL(3,R)$ gauge theory of gravity coupled with an external electromagnetic field, is studied. It is shown that possible restrictions on Maxwell field can be avoided through introduction of auxiliary fields.5 pages, to appear in CIENCIAGeneral Relativity and Quantum Cosmologytext