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Axial-vector torsion and the teleparallel Kerr spacetime

J G Pereira, T Vargas and C M Zhang

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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.


PACS

04.20.Jb Exact solutions

04.25.-g Approximation methods; equations of motion

MSC

83C25 Approximation procedures, weak fields

83C15 Exact solutions

Subjects

Gravitation and cosmology

Dates

Issue 5 (7 March 2001)

Received 16 October 2000



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