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 {\it
k}-inflation model in the presence of unusual coupling between scalar and
electromagnetic fields as $-f^2(\phi)F_{\mu\nu}F^{\mu\nu}/4$. 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.
