Anisotropic constant-roll \(k\)-inflation model

Hoang Duy Nguyen; Manh Tuyen Pham; Duc Thien Le; Quoc Tuan Do

doi:10.15625/0868-3166/17360

Author affiliations

Authors

Duy H. Nguyen Phenikaa Institute for Advanced Study, Phenikaa University, Hanoi 12116, Vietnam and Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Hanoi 11307, Vietnam
Tuyen M. Pham Phenikaa Institute for Advanced Study, Phenikaa University, Hanoi 12116, Vietnam and Graduate University of Science and Technology, Vietnam Academy of Science and Technology, Hanoi 11307, Vietnam
Thien D. Le Department of Natural Science, Phu Cuong High School, Hoa Binh 36100, Vietnam
Tuan Q. Do Phenikaa Institute for Advanced Study, Phenikaa University, Hanoi 12116, Vietnam

DOI:

https://doi.org/10.15625/0868-3166/17360

Keywords:

Inflation, Bianchi type I metric, Cosmic no-hair conjecture, cosmology

Abstract

In this paper, we would like to figure out whether a {\it 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.

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