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Quasi-Isotropization of the Inhomogeneous Mixmaster Universe Induced by an Inflationary Process

A. A. Kirillov·G. Montani
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Abstract

We derive a ``generic'' inhomogeneous ``bridge'' solution for a cosmological model in the presence of a real self-interacting scalar field. This solution connects a Kasner-like regime to an inflationary stage of evolution and therefore provides a dynamical mechanism for the quasi-isotropization of the universe. In the framework of a standard Arnowitt-Deser-Misner Hamiltonian formulation of the dynamics and by adopting Misner-Chitrè-like variables, we integrate the Einstein-Hamilton-Jacobi equation corresponding to a ``generic'' inhomogeneous cosmological model whose evolution is influenced by the coupling with a bosonic field, expected to be responsible for a spontaneous symmetry breaking configuration. The dependence of the detailed evolution of the universe on the initial conditions is then appropriately characterized.

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A. A. Kirillov, G. Montani. 2002-09-17. Quasi-Isotropization of the Inhomogeneous Mixmaster Universe Induced by an Inflationary Process. https://doi.org/10.1103/physrevd.66.064010

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