B. Saha et Gn. Shikin, INTERACTING SPINOR AND SCALAR FIELDS IN BIANCHI TYPE-I UNIVERSE FILLED WITH PERFECT FLUID - EXACT SELF-CONSISTENT SOLUTIONS, General relativity and gravitation, 29(9), 1997, pp. 1099-1113
In the framework of Bianchi I (BI) cosmological models a self-consiste
nt system of interacting spinor and scalar fields has been considered.
We introduced an interaction function F(I, J) which is an arbitrary f
unction of invariants I and J, generated from the real bilinear forms
of the spinor field. Exact self-consistent solutions to the field equa
tions have been obtained for the cosmological model filled with perfec
t fluid. The initial and the asymptotic behavior of the held functions
and of the metric one has been thoroughly studied.