Spinor field with induced nonlinearity in Bianchi VI cosmology: Exact and numerical solutions

B. Saha1

Abstract

A self-consistent system of interacting spinor and scalar fields in Bianchi type VI (B-VI) cosmology is studied in the presence of a cosmological constant. Exact solutions to the spinor, scalar and gravitational field equations are obtained for some special choice of the spinor field nonlinearity. It is shown that introduction of L > 0, which is often used to model dark energy, results in a rapid growth of the universe, while L < 0 gives rise to an oscillatory or non-periodic mode of expansion. If the metric functions a and b are taken to be inverse to each other (ab = 1), we have a singularity-free universe independently of the sign of L.

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