Exact metric for the exterior of a global string in the Brans-Dicke   theory
  We determine in closed form the general static solution with cylindrical symmetry to the Brans-Dicke equations for an energy-momentum tensor corresponding to the one of the straight U(1) global string outside the core radius assuming that the Goldstone boson field takes its asymptotic value 
B. Boisseau and B. Linet