Anisotropic constant-roll k-inflation model

TL;DR

This paper investigates anisotropic inflationary solutions in a k-inflation model with scalar-vector coupling under constant-roll conditions, revealing novel solutions that challenge the cosmic no-hair conjecture.

Contribution

It introduces new anisotropic inflationary solutions in a supergravity-inspired k-inflation model with scalar-vector coupling under constant-roll conditions.

Findings

Discovery of novel anisotropic inflationary solutions.

Numerical confirmation of solution stability.

Contradiction of Hawking's cosmic no-hair conjecture.

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, $f^2(\phi)F_{\mu\nu}F^{\mu\nu}$. 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.