Can induced gravity isotropize Bianchi I, V, or IX Universes?

Details Can induced gravity isotropize Bianchi I, V, or IX Universes? Can induced gravity isotropize Bianchi I, V, or IX Universes?

1998-10-20

arxiv.org/abs/gr-qc/9810064v1

Phys.Rev. D59 (1999) 043501

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages, 5 figures, to be published in Phys. Rev. D15

Scientific paper

10.1103/PhysRevD.59.043501

We analyze if Bianchi I, V, and IX models in the Induced Gravity (IG) theory can evolve to a Friedmann--Roberson--Walker (FRW) expansion due to the non--minimal coupling of gravity and the scalar field. The analytical results that we found for the Brans-Dicke (BD) theory are now applied to the IG theory which has $\omega \ll 1$ ($\omega$ being the square ratio of the Higgs to Planck mass) in a cosmological era in which the IG--potential is not significant. We find that the isotropization mechanism crucially depends on the value of $\omega$. Its smallness also permits inflationary solutions. For the Bianch V model inflation due to the Higgs potential takes place afterwads, and subsequently the spontaneous symmetry breaking (SSB) ends with an effective FRW evolution. The ordinary tests of successful cosmology are well satisfied.

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