  Closed Time-like curves (CTC) in Cosmic strings in teleparallel $T_{4}$
gravity are forbidden.This result shown here in $T_{4}$ was shown by Soleng
(Phys.Rev.D49 (1994)1124) also to be valid in Einstein-Cartan (EC) gravity.Here
we show that in $T_{4}$ to allow for CTC we are also led to a lower bound on
the angular momentum of the cosmic string.This result is obtained by matching
the interior $T_{4}$ solution to a General Relativity (GR) vacuum solution.One
of the main differences of the present report and the one by Soleng is that
here the interior symmetric solution does not have necessary polarized spins
but only Cartan torsion in the spirit of teleparallelism.Torsion flux is
computed and it is show that the center of cylinder singularity corresponds to
a 2+1 spacetime rotating point particle in $T_{4}$.Therefore the possibility of
building time machines seems to be strongly constraint than in the case of EC
gravity.
