Bianchi-I cosmologies with magnetic and spinor fields

K.A. Bronnikov1, E.N. Chudaeva2 and G.N. Shikin3


We consider Bianchi type I cosmologies with unidirectional magnetic and electric fields as well as a global spinor field y(t) containing a nonlinearity in the form sn, where s = opsiy 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 = wr with the parameter w = n - 1. The Dirac massive spinor field and nonlinear fields with n < 4/3 are shown to be able to provide late-time isotropization.


  1. Ya. B. Zeldovich, A. A. Ruzmaikin and D. D. Sokoloff, "Magnetic field in Astrophysics" (New York, Gordon and Breach, 1993); M. Giovannini, "The magnetized Universe", astro-ph/0312614 (review paper, 146 pp.)
  2. J. T. Horwood and J. Wainwright, Gen. Rel. Grav. 36 799 (2004).
  3. E. R. Harrison, Phys. Rev. Lett. 30 188 (1973).
  4. B. Saha, Physics of Elementary Particles and Atomic Nuclei (Dubna) 37, 7, 27-90 (2006).
  5. D. Brill and J. A. Wheeler, Rev. Mod. Phys. 29, 465-479 (1957).
  6. J. A. Wheeler, "Neutrinos, Gravitation and Geometry" (Bologna, 1960).
  7. K. A. Bronnikov, E. N. Chudaeva, and G. N. Shikin, Class. Quant. Grav. 21 3389 (2004).
For more information about this paper please visit Springer's Home Page of this paper.

Back to The Contents Page