Geometrization of spin and the Weyssenhoff fluid conjecture

Details Geometrization of spin and the Weyssenhoff fluid conjecture Geometrization of spin and the Weyssenhoff fluid conjecture

May 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..549s&link_type=abstract

General Relativity and Gravitation (ISSN 0001-7701), vol. 18, May 1986, p. 549-553.

Mathematics

Logic

16

Gravitation Theory, Ideal Fluids, Relativity, Rotating Fluids, Space-Time Functions, Spin, Cartan Space, Geometry, Riemann Manifold, Torsion

Scientific paper

It 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.

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