Rotation and pseudo-rotation

Details Rotation and pseudo-rotation Rotation and pseudo-rotation

2010-06-21

arxiv.org/abs/1006.4152v1

Gen. Relat. and Gravit. vol. 37, p. 781 (2005)

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

13 pages, no figures, contains parts of the PhD Thesis of H. Vargas Rodr\'iguez

Scientific paper

Eigenvectors of stress-energy tensor (the source in Einstein's equations) form privileged bases in description of the corresponding space-times. When one or more of these vector fields are rotating (the property well determined in differential geometry), one says that the space-time 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. Both properties of metric, its material sources, and space-time symmetries are considered in this paper.

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