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

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.

Automated summary

This paper extends a recently proposed model to a hyperbolic inflation scenario by studying the coupling relationships of two scalar fields and two vector fields. A set of exact solutions is obtained and it is shown that these solutions are stable and attractive during the inflationary phase. The result indicates that the cosmic no-hair conjecture is extensively violated in this anisotropic hyperbolic inflation model.