Telaparallel Textures

TL;DR

This paper explores teleparallel textures, showing how torsion influences spacetime geometry and produces a force that diminishes with distance, with implications for cosmic string-like structures.

Contribution

It provides an explicit example of teleparallel textures and analyzes their geometric and physical effects, especially in the light cone limit.

Findings

Torsion affects the metric similarly to cosmic string space-times.

In the light cone limit, torsion induces a force decaying as r^{-3}.

The metric becomes non-Euclidean with angle dependence on torsion.

Abstract

An example of a teleparallel texture is given by an appropriate choice of torsion components in the tetrad frame.In the light cone limit the metric is not globally Euclidean and the spherical angles depend on torsion similarly to what happens in cosmic string space-times.In this limit torsion produces a force which decays with $r^{-3}$.