General Relativity and Gravitation

, Volume 18, Issue 5, pp 549–553 | Cite as

Geometrization of spin and the Weyssenhoff fluid conjecture

  • Larry L. Smalley
  • John R. Ray
Research Articles


We show that the logical treatment of spinning perfect fluids occurs in a metrictorsion space-time with or without mass conservation. The consequence is the geometrization of spin; that is, we obtain the Weyssenhoff form relating spin and the trace-free torsion without any ad hoc assumption.


Differential Geometry Mass Conservation Perfect Fluid Logical Treatment Weyssenhoff Fluid 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. 1.
    Hehl, F. W., von der Heyde, P., Kerlick, G. D., and Nester, J. M. (1976).Rev. Mod. Phys.,48, 393.Google Scholar
  2. 2.
    Cobb, W., private communication.Google Scholar
  3. 3.
    Ray, J. R., and Smalley, L. L. (1982).Phys. Rev. Lett.,49, 1059; (1983).Phys. Rev. Lett.,50, 626E.Google Scholar
  4. 4.
    Ray, J. R., and Smalley, L. L. (1983).Phys. Rev. D,27, 1383.Google Scholar
  5. 5.
    Halbwachs, F. (1960).Théorie Relativiste des Fluide à Spin (Gauthier-Villars, Paris).Google Scholar
  6. 6.
    Ray, J. R. (1972).J. Math. Phys.,13, 1451.Google Scholar
  7. 7.
    Ray, J. R., and Smalley, L. L. (1982).Phys. Rev. D,26, 2619.Google Scholar
  8. 8.
    Smalley, L. L. (1978).Phys. Rev. D,18, 3896.Google Scholar
  9. 9.
    Hehl, F. W. (1973).Gen. Rel. Grav,4, 333, and (1974)5, 491.Google Scholar
  10. 10.
    Hehl, F. W., Lord, E. A., and Smalley, L. L. (1981).Gen. Rel. Grav.,13, 1037.Google Scholar
  11. 11.
    Smalley, L. L. (1979).Lett. Nuovo Cimento 24, 406.Google Scholar

Copyright information

© Plenum Publishing Corporation 1986

Authors and Affiliations

  • Larry L. Smalley
    • 1
    • 2
  • John R. Ray
    • 3
  1. 1.Space Science LaboratoryMarshall Space Flight Center
  2. 2.Department of PhysicsThe University of Alabama in HuntsvilleHuntsville
  3. 3.Department of PhysicsClemson UniversityClemson

Personalised recommendations