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Phys. Rev. D 59, 043501 (1998) [12 pages]

Can induced gravity isotropize Bianchi type I, V, or IX universes?

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J. L. Cervantes-Cota*
Departamento de Física, Instituto Nacional de Investigaciones Nucleares (ININ), P.O. Box 18-1027, México Distrito Federal 11801, México

P. Ag. Chauvet
Departamento de Física, Universidad Autónoma Metropolitana-Iztapalapa, P.O. Box 55-534, México Distrito Federal 09340, México

Received 14 November 1997; revised 3 September 1998; published 30 December 1998

We analyze if Bianchi type I, V, and IX models in the induced gravity (IG) theory can evolve to a Friedmann-Roberson-Walker (FRW) expansion due to the nonminimal coupling of gravity and the scalar field. The analytical results that we find for the Brans-Dicke (BD) theory are now applied to the IG theory which has ω≪1 (ω being the square ratio of the Higgs boson 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 ω. Its smallness also permits inflationary solutions. For the Bianchi type V model, inflation due to the Higgs potential takes place afterwards, and subsequently spontaneous symmetry breaking ends with an effective FRW evolution. The ordinary tests of successful cosmology are well satisfied.

© 1998 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.59.043501
DOI:
10.1103/PhysRevD.59.043501
PACS:
98.80.Cq

*Email address: jorge@nuclear.inin.mx

Email address: pcha@xanum.uam.mx