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Geometrization of spin and the Weyssenhoff fluid conjectureIt is shown that the logical treatment of spinning perfect fluids occurs in a metric-torsion space-time with or without mass conservation. The Lagrangian formulation of a spin density fluid is reviewed, concentrating on the relationship between spin and torsion for metric-torsion space-times. The significance of the mass constraint is discussed, and its consequences for the variation of the Lagrangian is given. That consequence is the geometrization of spin; that is, the Weyssenhoff form relating spin and the trace-free torsion is obtained without any ad hoc assumption.
Document ID
19860061684
Acquisition Source
Legacy CDMS
Document Type
Reprint (Version printed in journal)
External Source(s)
Authors
Smalley, L. L.
(NASA Marshall Space Flight Center; Alabama, University Huntsville, United States)
Ray, J. R.
(Clemson University SC, United States)
Date Acquired
August 12, 2013
Publication Date
May 1, 1986
Publication Information
Publication: General Relativity and Gravitation
Volume: 18
ISSN: 0001-7701
Subject Category
Physics (General)
Accession Number
86A46422
Distribution Limits
Public
Copyright
Other

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