Anisotropic power-law inflation for a model of two scalar and two vector fields

Abstract

Inspired by an interesting counterexample to the cosmic no-hair conjecture found in a supergravity-motivated model recently, we propose a multi-field extension, in which two scalar fields are allowed to non-minimally couple to two vector fields, respectively. This model is shown to admit an exact Bianchi type I power-law solution. Furthermore, stability analysis based on the dynamical system method is performed to show that this anisotropic solution is indeed stable and attractive if both scalar fields are canonical. Nevertheless, if one of the two scalar fields is phantom then the corresponding anisotropic power-law inflation turns unstable as expected.

arXiv comment13 pages, 2 figures. Updated version, in which several typos are corrected and one reference is added. All results are not changed. Matches the published version. Comments are welcome

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• Cosmic No-hair Conjecture and Inflation with an SU(3) Gauge Field
• New Anisotropic Exact Solution in Multifield Cosmology
• Anisotropic power-law inflation for a generalized model of two scalar and two vector fields
• Viable Anisotropic Inflation and Reheating in the Tachyon Model
• A gap between two approaches of dimensional reduction for a six-dimensional Kaluza-Klein theory
• Anisotropic constant-roll k-inflation model
• Observational Viability of Anisotropic Inflation Revisited
• Power-law Bianchi type I inflation with multiple vector fields