Bianchi-I cosmologies with electromagnetic and spinor fields. Isotropization problem
Apr 15, 2009
8 pages
Published in:
- Int.J.Theor.Phys. 48 (2009) 2214-2221
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Abstract: (Springer)
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 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
- space-time: Bianchi
- field theory: spinor
- spinor: massive
- tensor: energy-momentum
- field theory: vector
- electromagnetic field
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