Wiggly Strings in Linearized Brans-Dicke Gravity
  The metric around a wiggly cosmic string is calculated in the linear approximation of Brans-Dicke theory of gravitation. The equations of motion for relativistic and non-relativistic particles in this metric are obtained.   Light propagation is also studied and it is shown that photon trajectories can be bounded. 
Andres Arazi and Claudio Simeone