Teleparallel Versions of Friedmann and Lewis-Papapetrou Spacetimes

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 $ω$ and $ψ$ in the Lewis-Papapetrou metric. The vector related with spin has also been evaluated.