Anisotropic constant-roll k-inflation model

Abstract

In this paper, we would like to figure out whether a k-inflation model admits the Bianchi type I metric as its inflationary solution under a constant-roll condition in the presence of the supergravity motivated coupling between scalar and vector fields, $f^2(\varphi )F_{\mu \nu }{F}^{\mu \nu }$. As a result, some novel anisotropic inflationary solutions are shown to appear along with a power-law one in this scenario. Furthermore, these solutions are numerically confirmed to be attractive, in contrast to the prediction of the Hawking's cosmic no-hair conjecture.

15 pages, 11 figures. To appear in Communications in Physics (2023), a well-established physics journal of Vietnam. Comments are welcome

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