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Anisotropic Hyperbolic Inflation

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arxiv 2106.04813 v2 pith:TOHZYOUU submitted 2021-06-09 hep-th astro-ph.COgr-qc

Chong-Bin Chen , Jiro Soda This is my paper · ORCID
classification hep-thastro-ph.COgr-qc
keywords inflationhyperbolicanisotropicslow-rollfieldrollslowsolutions
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Hyperbolic inflation is an extension of the slow-roll inflation in multi-field models. We extend hyperbolic inflation by adding a gauge field and find four-type attractor solutions: slow-roll inflation, hyperbolic inflation, anisotropic slow roll inflation, and anisotropic hyperbolic inflation. We perform the stability analysis with the dynamical system method. We also study the transition behaviors of solutions between anisotropic slow roll inflation and anisotropic hyperbolic inflation. Our result indicates that destabilization of the standard slow-roll inflation ubiquitously occurs in multi-scalar-gauge field inflationary scenarios.

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Cited by 3 Pith papers

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  1. Misalignment production of isotropized vector dark matter?

    astro-ph.CO 2026-07 conditional novelty 5.0 of 10

    Kinetic-coupling misalignment of an isotropized multi-vector condensate cannot produce dark matter: non-Gaussianity and isocurvature constraints exclude the viable parameter space in both weak- and strong-mixing regimes.

  2. 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.

  3. 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.

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