Dynamical Analysis of Anisotropic Inflation

Abstract

Inflaton coupling to a vector field via the $f^2(\varphi )F_{\mu \nu }{F}^{\mu \nu }$ term is used in several contexts in the literature, such as to generate primordial magnetic fields, to produce statistically anisotropic curvature perturbation, to support anisotropic inflation and to circumvent the $\eta$-problem. Here, I perform dynamical analysis of such a system allowing for most general Bianchi I initial conditions. I also confirm the stability of attractor equilibrium points in phase-space directions that had not been investigated before.

17 pages, 2 figures

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Cited by in corpus (9)

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• Dynamical analysis of cosmological models with non-Abelian gauge vector fields
• Anisotropic constant-roll inflation with noncommutative model and swampland conjectures
• Anisotropic power-law inflation for a conformal-violating Maxwell model
• Anisotropic power-law inflation for a model of two scalar and two vector fields
• Narrowing the window of inflationary magnetogenesis
• Stable small spatial hairs in a power-law k-inflation model
• CMB imprints of non-canonical anisotropic inflation
• Anisotropic Spacetimes in Chiral Scalar Field Cosmology