Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes

TL;DR

This paper explores teleparallel gravity formulations of Friedmann and Lewis-Papapetrou spacetimes, deriving tetrad and torsion fields, and analyzing the axial-vector and spin-related vectors within these models.

Contribution

It provides new teleparallel versions of these spacetimes, including explicit tetrad and torsion field calculations, and examines the axial-vector behavior under different conditions.

Findings

Axial-vector vanishes for Friedmann models.

The axial-vector depends on arbitrary functions in Lewis-Papapetrou spacetime.

The spin-related vector is explicitly evaluated.

Abstract

This paper is devoted to investigate the teleparallel versions of the Friedmann models as well as the Lewis-Papapetrou solution. We obtain the tetrad and the torsion fields for both the spacetimes. It is shown that the axial-vector vanishes for the Friedmann models. We discuss the different possibilities of the axial-vector depending on the arbitrary functions $\omega$ and $\psi$ in the Lewis-Papapetrou metric. The vector related with spin has also been evaluated.