Axial-Vector Torsion and the Teleparallel Kerr Spacetime

TL;DR

This paper derives the tetrad and torsion fields for the Kerr spacetime within teleparallel gravity, showing that axial-vector torsion accounts for gravitomagnetic effects like the Lense-Thirring precession in certain approximations.

Contribution

It provides a novel derivation of torsion fields for Kerr spacetime in teleparallel gravity, linking axial-vector torsion to gravitomagnetic phenomena.

Findings

Axial-vector torsion corresponds to gravitomagnetic components.

In slow rotation and weak field limits, torsion explains Lense-Thirring effect.

Torsion fields are explicitly derived for Kerr spacetime.

Abstract

In the context of the teleparallel equivalent of general relativity, we obtain the tetrad and the torsion fields of the stationary axisymmetric Kerr spacetime. It is shown that, in the slow rotation and weak field approximations, the axial-vector torsion plays the role of the gravitomagnetic component of the gravitational field, and is thus the responsible for the Lense-Thirring effect.