Induced gravity, and minimally and conformally coupled scalar fields in Bianchi-I cosmological models

Abstract

We study the cosmological evolution and singularity crossing in the Bianchi-I universe filled with a conformally coupled scalar field and compare them with those of the Bianchi-I universe filled with a minimally coupled scalar field. We also write down the solution for the Bianchi-I Universe in the induced gravity cosmology.

11 pages, 3 figures, final version, to appear in Physical Review D

References in corpus (4)

• One-loop divergences for gravity non-minimally coupled to a multiplet of scalar fields: calculation in the Jordan frame. I. The main results
• Eternal Universe
• Bianchi-I cosmological model and crossing singularities
• Field redefinitions, Weyl invariance, and nature of mavericks

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