Anisotropic power-law inflation for models of non-canonical scalar fields non-minimally coupled to a two-form field

Author:

Tuyen M. Pham, Duy H. Nguyen, Tuan Q. Do, W. F. Kao

Keyword:

General Relativity and Quantum Cosmology, General Relativity and Quantum Cosmology (gr-qc), Cosmology and Nongalactic Astrophysics (astro-ph.CO)

journal:

date:

2023-09-05 16:00:00

Abstract

In this paper, we investigate the validity of the so-called cosmic no-hair conjecture in the framework of anisotropic inflation models of non-canonical scalar fields non-minimally coupled to a two-form field. In particular, we focus on two typical {\it k}-inflation and Dirac-Born-Infeld inflation models, in which we find a set of exact anisotropic power-law inflationary solutions. Interestingly, these solutions are shown to be stable and attractive during an inflationary phase using the dynamical system analysis. The obtained results indicate that the non-minimal coupling between the scalar and two-form fields acts as a non-trivial source of generating stable spatial anisotropies during the inflationary phase and therefore violates the prediction of the cosmic no-hair conjecture, even when the scalar field is of non-canonical forms.

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