A note on the Limits to Global Rotation from Teleparallel G\"{o}del Universe

TL;DR

This paper explores the relationship between torsion and global rotation in a teleparallel G"odel universe, deriving limits on cosmic rotation and torsion using observational constraints and Cartan's calculus.

Contribution

It establishes a direct relation between torsion and global rotation in teleparallel G"odel universe and derives observational limits on torsion and rotation.

Findings

Limit on global rotation from torsion knowledge

Cosmological torsion estimated at 10^{-17} cm^{-1}

Constraints on torsion fluctuations from COBE data

Abstract

A teleparallel G\"{o}del universe is shown to lead to a simple and natural relation between Cartan torsion and the global rotation of the universe.This is straightforward if one uses the formalism of Cartan's calculus of exterior differential forms.It is possible to place a limit on the global rotation from the knowledge of torsion and the converse is also true.The Obukhov recent limit of $\frac{\omega}{H_{0}}=1$ leads to the well know value for cosmological torsion of $10^{-17} cm^{-1}$.COBE constraints on the temperature anisotropy allows us to obtain limits on the torsion fluctuation in G\"{o}del's universe.