On the Causal Structure of Spinning Einstein-Yang-Mills-Higgs Strings

TL;DR

This paper investigates the causal structure of spinning Einstein-Yang-Mills-Higgs strings, suggesting they are unlikely to contain closed timelike curves and may resolve causality issues present in simpler models, with regular solutions found.

Contribution

It introduces non-abelian YM string solutions that avoid causality violations and explores their properties, including potential critical behavior near black hole thresholds.

Findings

Regular non-abelian solutions without causality violations

Unlikely formation of closed timelike curves in spinning EYMH-strings

Potential critical phenomena at black hole mass thresholds

Abstract

It 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 solutions 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.