Journal of The Korean Astronomical Society (천문학회지)
- Volume 9 Issue 1
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- Pages.9-14
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- 1976
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- 1225-4614(pISSN)
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- 2288-890X(eISSN)
Global Theory of Einstein-Cartan Equations - Godel Universe with Torsion -
- Minn, Ho-Kee (Department of Mathematics, College of Natural Sciences, Seoul National University)
- Published : 1976.12.31
Abstract
Godel 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 held equations impose any restriction on alignement 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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