Dynamics of Inhomogeneous Models Near a Singularity in Classical and Quantum Cosmology
Abstract
Introduction: Generalized Kasner Variables in inhomogeneous cosmological  models Introduction Generalized Kasner model, Generalized Kasner Variables Generalized Kasner model Generalized Kasner variables The asymptotic model in the vicinity of a cosmological singularity  (the BLK model) Billiard reprsentation MisnerChitre approach Properties of the Billiards Dynamics of inhomogeneities Estimates and Origin of cellular structure of space Quantum cosmology introduction local dynamics of inhomogeneous models Quantization. The WheelerDe Witt equation The space of solutions to the WDW equation for a particular  xset of degrees of freedom The Hilbert space and the probability interpretation The ambiguity in the choice of the Hilbert space The presence of matter and the case of all degree of freedom The presence of the scalar field. Mixing of frequencies and  third quantization The case of all degree of freedom The BLK inhomogeneous model, stationary states and statistical  properties of metric inhomogeneities Estimates and dynamical reduction of extra dimensions in Inhomogeneous  KaluzaKlein cosmological models Third quantization and topology fluctuation in the early universe Introduction The Hamiltonian formulation Generalized Kazner solution and quantization Third quantization Interpretation and observables Topology fluctuations and quantum creation of a quasihomogeneous  inflationary Universe On a Modification of the Ordinary Field Theory
 Publication:

Cosmology and Gravitation II. VII Brazilian School of Cosmology and Gravitation II
 Pub Date:
 1996
 Bibcode:
 1996cogr.conf..349K