Dynamics of a preinflationary anisotropic universe.

Mathematics – Logic

Scientific paper

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Cosmology: Bianchi Models

Scientific paper

The dynamics of an anisotropic Bianchi type-IX model (mixmaster universe) with matter and cosmological constant is studied. The model can be considered as describing the preinflationary universe where the cosmological constant is arised from the vacuum energy of the inflation field. There are a critical saddle-point in the phase space of the system and a strong asymptotic de Sitter attractor. The structure of the phase space near the critical point is very complicated, presenting the unbounded orbits escaping from unstable periodic orbits. Even for very small anisotropy, the universe oscillates a long time in the neighborhood of the critical point before collapsing or escaping to the de Sitter universe, exhibiting chaotic behavior.

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