Anisotropic hyperbolic inflation for a model of two scalar and two vector fields

Abstract

In this paper, we extend a recent proposed model of two scalar and two vector fields to a hyperbolic inflation scenario, in which the field space of two scalar fields is a hyperbolic space instead of a flat space. In this model, one of the scalar fields is assumed to be a radial field, while the other is set as an angular field. Furthermore, both scalar fields will be coupled to two different vector fields, respectively. As a result, we are able to obtain a set of exact Bianchi type I solutions to this model. Stability analysis is also performed to show that this set of anisotropic solutions is indeed stable and attractive during the inflationary phase. This result indicates that the cosmic no-hair conjecture is extensively violated in this anisotropic hyperbolic inflation model.

15 pages, 2 figures. Matches the published version. All calculations are not modified. Comments are welcome

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Cited by in corpus (6)

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• Analytic solution and Noether symmetries for the hyperbolic inflationary model in the Jordan frame
• Anisotropic power-law inflation for the Sáez-Ballester theory non-minimally coupled to a vector field
• Power-law Bianchi type I inflation with multiple vector fields
• Anisotropic constant-roll k-inflation model