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Stable small spatial hairs in a power-law k-inflation model

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 نشر من قبل Tuan Do
 تاريخ النشر 2020
  مجال البحث فيزياء
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 تأليف Tuan Q. Do




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In this paper, we extend our investigation of the validity of the cosmic no-hair conjecture within non-canonical anisotropic inflation. As a result, we are able to figure out an exact Bianchi type I solution to a power-law {it k}-inflation model in the presence of unusual coupling between scalar and electromagnetic fields as $-f^2(phi)F_{mu u}F^{mu u}/4$. Furthermore, stability analysis based on the dynamical system method indicates that the obtained solution does admit stable and attractive hairs during an inflationary phase and therefore violates the cosmic no-hair conjecture. Finally, we show that the corresponding tensor-to-scalar ratio of this model turns out to be highly consistent with the observational data of the Planck 2018.


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