On the effects of interaction of a spinor field with a vortex gravitational field

V.G. Krechet and E.Yu. Orlova1


We consider the problem of interaction of a self-gravitating spinor field and a vortex gravitational field in a stationary space-time with cylindrical symmetry with a possible existence of a vortex gravitational field. For this purpose, we solve the set of the Einstein-Dirac equations in such space-time. We find exact solutions to these equations, and some of them describe a wormhole geometry.


  1. V. G. Krechet, Topological and physical effects of rotation and spin in general-relativistic gravity, Izvestiya Vuzov, Fizika, No. 10 (2007).
  2. V. G. Krechet and D. V. Sadovnikov, Effects of spin-spin interaction in general-relativistic theory of gravity, Grav. Cosmol. 13, 269 (2007).
  3. Yu. S. Vladimirov, Reference Frames in Gravitation Theory (Energoizdat, Moscow, 1982).
  4. K. A. Bronnikov and Jose P. S. Lemos, Phys. Rev. D 79, 104019 (2009); arXiv: 0902.2360.
  5. K. A. Bronnikov, E. N. Chudayeva, and G. N.T Shikin, Gen. Rel. Grav. 36 1537 (2004).
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