Quasi-isotropization of the inhomogeneous mixmaster universe induced by an inflationary process

A. A. Kirillov and G. Montani
Phys. Rev. D 66, 064010 – Published 17 September 2002
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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.

  • Received 5 December 2001

DOI:https://doi.org/10.1103/PhysRevD.66.064010

©2002 American Physical Society

Authors & Affiliations

A. A. Kirillov

  • Institute for Applied Mathematics and Cybernetics, 10 Ulyanova str., Nizhny Novgorod, 603005, Russia

G. Montani

  • ICRA—International Center for Relativistic Astrophysics, Dipartimento di Fisica (G9), Università di Roma, “La Sapienza,” Piazzale Aldo Moro 5, 00185 Rome, Italy

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Vol. 66, Iss. 6 — 15 September 2002

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