Research PapersNo Access

Inflation of the universe by the non-minimal Y (R )F ² models

Özcan Sert

Department of Mathematics, Faculty of Arts and Sciences, Pamukkale University, 20070 Denizli, Turkey

https://doi.org/10.1142/S0217732320500376Cited by:3 (Source: Crossref)

Abstract

The cosmological solutions of the non-minimal $Y (R) F^{2}$ $Y (R) F^{2}$ theory, which are compatible with FRW spacetime, are investigated. In order to avoid the isotropy violation of a vector field, it can be considered that the presence of a triplet of vector fields satisfy SO(3) symmetry or the average of randomly oriented electromagnetic fields over the sufficiently large volume. By considering the symmetry arguments, the inflation driven by the non-minimally coupled vector fields is studied. Then the cosmological solutions and corresponding models are obtained with the power-law, hyperbolic and hybrid scale functions.

Keywords:

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