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Title: Rotation and pseudo-rotation
Author: Mitskievich, N.V.
Vargas-Rodriguez, H.
Issue Date: 2005
Abstract: Eigenvectors of stress-energy tensor (the source in Einstein's equations) form privileged bases in description of the corresponding spacetimes. When one or more of these vector fields are rotating (the property well determined in differential geometry), one says that the spacetime executes this rotation. Though the rotation in its proper sense is understood as that of a timelike congruence (vector field), the rotation of a spacelike congruence is not a less objective property if it corresponds to a canonical proper basis built of the just mentioned eigenvectors. In this last case, we propose to speak on pseudo-rotation. The both properties of metric, its material sources, and spacetime symmetries are considered in this paper. © Springer-Verlag 2005.
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