Gravitational field around a timelike current-carrying screwed cosmic string in scalar-tensor theories

In this paper we obtain a space-time generated by a timelike current-carrying superconducting screwed cosmic string (TCSCS). This gravitational field is obtained in a modified scalar-tensor theory in the sense that torsion is taken into account. We show that this solution is compatible with a torsion field generated by the scalar field φ. The analysis of the gravitational effects of a TCSCS shows up that the torsion effects that appear in the physical frame of Jordan-Fierz type can be described in a geometric form given by contorsion term plus a symmetric part which contains the scalar gradient. As an important application of this solution, we consider the linear perturbation method developed by Zel'dovich, investigate the accretion of cold dark matter due to the formation of wakes when a TCSCS moves with speed v, and discuss the role played by torsion. Our results are compared with those obtained for cosmic strings in the framework of scalar-tensor theories without taking torsion into account