Abstract
The tetrad and the torsion fields due to a rapidly rotating massive object are found. The motion of a spin particle in the Weitzenbock spacetime is studied. It is shown that the axial-vector torsion is the entity responsible for the gravitomagnetic component of the gravitational field.The influences of the quadrupole moment of the rapidly rotating object on the motion of the particle are discussed. It is pointed out that the influences of the quadrupole moment are negligible for Kerr black holes, but are as important as that of the Newtonian potential for a rapidly rotating neutron star.
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