Loop Variables for a Class of Conical Spacetimes

TL;DR

This paper investigates how loop variables, which encode topological defects in spacetime, depend on angular momentum and torsion, providing new insights into the holonomies of complex cosmic string configurations.

Contribution

It introduces a detailed analysis of holonomies in conical spacetimes with multiple defects, including moving crossed cosmic strings and their dependence on physical parameters.

Findings

Holonomy transformations depend on angular momentum and torsion.

Computed holonomies for multiple moving crossed cosmic strings.

Analyzed topological defects crossed by cosmic strings.

Abstract

Loop variables are used to describe the presence of topological defects in spacetime. In particular we study the dependence of the holonomy transformation on angular momentum and torsion for a multi-chiral cone. We also compute the holonomies for multiple moving crossed cosmic strings and two plane topological defects-crossed by a cosmic string.