Spacetime Defects: Torsion Loops

TL;DR

This paper explores spacetimes characterized by zero curvature but with localized torsion defects along loops and open curves, analyzing their properties and geodesic behavior.

Contribution

It introduces models of spacetimes with torsion defects confined to loops and open curves, expanding understanding of geometric structures with localized torsion.

Findings

Torsion defects can be confined to loops or open curves in spacetime.

Geodesics in these spacetimes are affected by the presence of torsion defects.

The study includes defects along timelike loops and their implications.

Abstract

Spacetimes with everywhere vanishing curvature tensor, but with torsion different from zero only on world sheets that represent closed loops in ordinary space are presented, also defects along open curves with end points at infinity are studied. The case of defects along timelike loops is also considered and the geodesics in these spaces are briefly discussed.