Abstract
We consider a self-consistent system of interacting spinor and scalar fields within the framework of a Bianchi type-I (BI) cosmological model filled with perfect fluid. The interacting term in the Lagrangian is chosen in the form of derivative coupling, i.e., Here F is a power or trigonometric function of the invariants I and/or J constructed from bilinear spinor forms and Self-consistent solutions to the spinor, scalar, and BI gravitational field equations are obtained. The problems of an initial singularity and the asymptotically isotropization process of the initially anisotropic space-time are studied. The role of the cosmological constant term) in the evolution of a BI Universe is studied. It is shown that a positive generates an oscillatory mode of expansion of the BI model, whereas if F in is chosen to be a trigonometric function of its arguments, there exists a nonexponential mode of evolution even with a negative It is shown also that for a suitable choice of problem parameters the present model allows regular solutions without a broken dominant energy condition.
- Received 18 November 2003
DOI:https://doi.org/10.1103/PhysRevD.69.124010
©2004 American Physical Society