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

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 k-inflation model in the presence of unusual coupling between scalar and electromagnetic fields as -f2(phi )F mu nu F mu nu /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.

Automated summary

In this paper, we extend our investigation of the cosmic no-hair conjecture within non-canonical anisotropic inflation and find a solution with stable and attractive hairs violating the cosmic no-hair conjecture. The corresponding tensor-to-scalar ratio of this model is highly consistent with the observational data of the Planck 2018.