On the causal structure of spinning Einstein-Yang-Mills-Higgs strings

If is claimed that it will be exceedingly unlikely to obtain CTC's in the spacetime of a spinning EYMH-string. It is conjectured that the pathological problems concerning the induced angular momentum and helical structure of time that afflict the U(1)-gauge string, will be solved in the non-abelian YM string model. In the pure YM case we find regular solutions, which resembles the abelian counterpart solution but without causality violating regions. Just as in the spherical symmetric case, there will be probably critical behavior of the field equations at the threshold of blackhole masses.