Global Theory of Einstein-Cartan Equations(Goedel Universe with Torsion)

Details Global Theory of Einstein-Cartan Equations(Goedel Universe with Torsion) Global Theory of Einstein-Cartan Equations(Goedel Universe with Torsion)

Dec 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976jkas....9....9m&link_type=abstract

Journal of the Korean Astronomical Society, vol. 9, no. 1, p. 9-14

Astronomy and Astrophysics

Astronomy

Scientific paper

Goedel models of the universe filled with fluid are studied in the framework of the Einstein-Cartan theory of gravitation. It is assumed that the models admit a group of motions simply transitive on space-time. The combined effects of spin and rotation(vorticity) are studied with a particular attention to whether the field equations impose any restriction on alignment of spin direction(a polarized spin distribution). The solutions are found explicitly in a closed form, which show that spin components are vanishingly small except in the direction of z-axis (the compass of inertia) in which they can assume an arbitrary distribution.

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