Axial-vector torsion and the teleparallel Kerr spacetime

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Published under licence by IOP Publishing Ltd
, , Citation J G Pereira et al 2001 Class. Quantum Grav. 18 833 DOI 10.1088/0264-9381/18/5/306

0264-9381/18/5/833

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 responsible for the Lense-Thirring effect.

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10.1088/0264-9381/18/5/306