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Anisotropic power-law inflation in a two-scalar-field model with a mixed kinetic term

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arxiv 1702.08308 v1 pith:TJAHE6F6 submitted 2017-02-27 gr-qc astro-ph.COhep-th

Anisotropic power-law inflation in a two-scalar-field model with a mixed kinetic term

classification gr-qc astro-ph.COhep-th
keywords anisotropicsolutionsconjecturecosmickineticno-hairpower-lawcanonical
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We examine whether an extended scenario of a two-scalar-field model, in which a mixed kinetic term of canonical and phantom scalar fields is involved, admits the Bianchi type I metric, which is homogeneous but anisotropic spacetime, as its power-law solutions. Then we analyze the stability of the anisotropic power-law solutions to see whether these solutions respect the cosmic no-hair conjecture or not during the inflationary phase. In addition, we will also investigate a special scenario, where the pure kinetic terms of canonical and phantom fields disappear altogether in field equations, to test again the validity of cosmic no-hair conjecture. As a result, the cosmic no-hair conjecture always holds in both these scenarios due to the instability of the corresponding anisotropic inflationary solutions.

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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.