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In this paper, we extend a recent proposed model of two scalar and two vectorfields to a hyperbolic inflation scenario, in which the field space of twoscalar fields is a hyperbolic space instead of a flat space. In this model, oneof the scalar fields is assumed to be a radial field, while the other is set asan angular field. Furthermore, both scalar fields will be coupled to twodifferent vector fields, respectively. As a result, we are able to obtain a setof exact Bianchi type I solutions to this model. Stability analysis is alsoperformed to show that this set of anisotropic solutions is indeed stable andattractive during the inflationary phase. This result indicates that the cosmicno-hair conjecture is extensively violated in this anisotropic hyperbolicinflation model.

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