2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/176201It is known that Vilenkin's phenomenological equation of state for static straight cosmic strings is inconsistent with Brans-Dicke theory. We will prove that, in the presence of a cosmological constant, this equation of state is consistent with Brans-Dicke theory. The general solution of the full nonlinear field equations, representing the interior of a cosmic string with a cosmological constant is also presented.5 pages, RevtexGeneral Relativity and Quantum Cosmologytext