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

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

Aug 2009

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2009ijtp...48.2214b&link_type=abstract

International Journal of Theoretical Physics, Volume 48, Issue 8, pp.2214-2221

Physics

Bianchi-I Cosmology, Electromagnetic Field, Spinor Field, Isotropization

Scientific paper

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{ψ}ψ 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.

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