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

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arxiv 2110.13516 v3 pith:HXFTMI6G submitted 2021-10-26 gr-qc astro-ph.CO

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

classification gr-qc astro-ph.CO
keywords fieldsmodelscalarhyperbolicanisotropicfieldinflationspace
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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.

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  1. Power-law Bianchi type I inflation with multiple vector fields

    gr-qc 2025-11 conditional novelty 5.0

    Exact power-law Bianchi type I inflationary solutions are found for one scalar field coupled to up to three vector fields, with stability governed by the relative sizes of the gauge-coupling exponents.