Axial-vector torsion and the teleparallel Kerr spacetime

2001/02/14 by J. G. Pereira, J G Pereira, T. Vargas +3 · 2 citations
Physics and Astronomy · #Cosmology and Gravitation Theories #General relativity #Gravitation #Pulsars and Gravitational Waves Research #Relativity and Gravitational Theory #Rotational symmetry #Spacetime #Tetrad #Torsion (gastropod) #gr-qc

paper · pdf · doi:10.1088/0264-9381/18/5/306

published as Class.Quant.Grav. 18 (2001) 833-842 · 9 pages, no figures, to appear in Class. Quant. Grav

arxiv created 2001/02/14 · openalex publication_date 2001/02/16 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/06

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.

Citations

• General relativity with spin and torsion: Foundations and prospects
• An axially symmetric solution of metric-affine gravity
• Gravitational Lorentz force and the description of the gravitational interaction
• New general relativity

Cited by

• Stationary axisymmetric solutions and their energy contents in teleparallel equivalent of Einstein theory
• GRAVITATION AND DUALITY SYMMETRY