B. Boisseau et B. Linet, EXACT METRIC FOR THE EXTERIOR OF A GLOBAL STRING IN THE BRANS-DICKE THEORY, General relativity and gravitation, 30(6), 1998, pp. 963-973
We determine in closed form the general static solution with cylindric
al symmetry to the Brans-Dicke equations for an energy-momentum tensor
corresponding to that of the straight U(1) global string outside the
core radius assuming that the Higgs boson field takes its asymptotic v
alue.