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Soviet Physics Journal

, Volume 22, Issue 8, pp 809–812 | Cite as

Configurations with a vector field in the Einstein-Cartan theory

  • V. G. Krechet
Article
  • 11 Downloads

Abstract

The properties of self-gravitating distributions of an ideal fluid charged by a vector field which is either massive or massless, i.e., electromagnetic, are considered taking account of the spin properties of the vector field in the framework of the Einstein-Cartan theory of gravitation. Conditions for equilibrium are found and the corresponding exact solutions are obtained. A complete system of first integrals of the corresponding equations of motion is found for dynamical distributions in the absence of pressure. A theorem on the correspondence between the dynamics of an electrically charged ideal fluid with a limiting equation of state and the dynamics of a free massive vector field is also proved.

Keywords

Exact Solution Vector Field Complete System Ideal Fluid Massive Vector 
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.

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Literature cited

  1. 1.
    I. D. Novikov, Astron. Zh.,43, 911 (1968).Google Scholar
  2. 2.
    M. A. Markov and V. P. Frolov, Teor. Mat. Fiz.,3, 3 (1970).Google Scholar
  3. 3.
    D. D. Ivanenko, V. G. Krechet, and V. G. Lapchinskii, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 12, 63 (1973).Google Scholar
  4. 4.
    N. V. Pavlov, Izv. Vyssh. Uchebn. Zaved., Fiz. No. 4, 42 (1976).Google Scholar
  5. 5.
    V. G. Krechet, V. N. Ponomarev, and A. O. Barvinskii, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 8 (1977).Google Scholar
  6. 6.
    V. G. Krechet, V. N. Ponomarev, and A. O. Barvinskii, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 9, 118 (1977).Google Scholar
  7. 7.
    V. G. Krechet, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 2, 57 (1978).Google Scholar
  8. 8.
    F. Kamke, Differentialgleichungen: Loesungsmethoden und Loesungen, Chelsea (1967).Google Scholar

Copyright information

© Plenum Publishing Corporation 1980

Authors and Affiliations

  • V. G. Krechet
    • 1
  1. 1.Moscow Evening Metallurgical InstituteUSSR

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