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arXiv · 1604.00269

Dynamical Analysis of Anisotropic Inflation

Mindaugas Karčiauskas
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Abstract

Inflaton coupling to a vector field via the $f^2(ϕ)F_{μν}F^{μν}$ 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 $η$-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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Mindaugas Karčiauskas. 2016-08-31. Dynamical Analysis of Anisotropic Inflation. https://doi.org/10.1142/s0217732316400022

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