2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/35612We reconsider the cosmic string perturbative solution to the classical fourth-order gravity field equations, obtained in Ref.\cite{CLA94}, and we obtain that static, cylindricaly symmetric gauge cosmic strings, with constant energy density, can contain only $β$-terms in the first order corrections to the interior gravitational field, while the exact exterior solution is a conical spacetime with deficit angle $D=8πμ$.6 pages, RevtexGeneral Relativity and Quantum CosmologyAstrophysicsHigh Energy Physics - Theorytext