Dynamical Analysis of Anisotropic Inflation

preprint2016arXivOpen access

Abstract

Inflaton coupling to a vector field via the f2(ϕ)FμνFμνf^2(ϕ)F_{μν}F^{μν} 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 ηη-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.

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