International Journal of Theoretical Physics

, Volume 48, Issue 8, pp 2214–2221 | Cite as

Bianchi-I Cosmologies with Electromagnetic and Spinor Fields. Isotropization Problem

  • K. A. Bronnikov
  • E. N. Chudaeva
  • G. N. Shikin


We consider Bianchi type I cosmologies with unidirectional magnetic and electric fields, assuming as well the existence of a global spinor field ψ(t) as one more possible source of gravity able to suppress the inevitable anisotropy accompanying a nonzero vector field. The field ψ(t) is assumed to contain a nonlinearity in the form s n , where \(s=\overline{\psi}\psi\) and n=const (the special case n=1 corresponds to a Dirac massive field). The structure of the stress-energy tensor of the spinor field is shown to be the same as that of a perfect fluid with the equation of state p=w ρ where w=n−1. The Dirac massive spinor field and nonlinear fields with n<4/3 are shown to be able to provide isotropization. A numerical estimate shows that this isotropization could occur early enough to be compatible with observations.


Bianchi-I cosmology Electromagnetic field Spinor field Isotropization 


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Copyright information

© Springer Science+Business Media, LLC 2009

Authors and Affiliations

  • K. A. Bronnikov
    • 1
    • 2
  • E. N. Chudaeva
    • 2
  • G. N. Shikin
    • 2
  1. 1.VNIIMSMoscowRussia
  2. 2.Peoples’ Friendship University of RussiaMoscowRussia

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