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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

Tuan Q. Do , W. F. Kao This is my paper · ORCID
classification gr-qcastro-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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Cited by 3 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

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

    gr-qc 2025-11 conditional novelty 5.0 of 10

    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.

  2. Kaluza-Klein inspired a model of the inflation with the inversed power law potential in Bianchi type-I universe

    gr-qc 2025-06 conditional novelty 4.0 of 10

    For a Kaluza-Klein inspired vector-scalar model in Bianchi type-I with inverse power-law potential, center manifold theory shows the isotropic scalar-dominated point E is a stable attractor, supporting isotropization.

  3. Anisotropic power-law inflation for the S\'aez-Ballester theory non-minimally coupled to a vector field

    gr-qc 2025-02 conditional novelty 4.0 of 10

    A stable anisotropic inflationary solution exists in the Saez-Ballester theory, but it is equivalent to the known Kanno-Soda-Watanabe solution and has a too-large tensor-to-scalar ratio.

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