A Toy Model Approach to the Canonical Non-perturbative Quantization of the Spatially Flat Robertson-Walker Spacetimes with Cosmological Constant

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dc.creatorDariescu, C.
dc.creatorHamamoto, S.
dc.creatorDariescu, Marina-Aura
dc.date1995-06-23
dc.date1995-06-24
dc.date.accessioned2026-07-07T08:59:29Z
dc.date.available2026-07-07T08:59:29Z
dc.descriptionWe present a toy model approach to the canonical non-perturbative quantization of the spatially-flat Robertson-Walker Universes with cosmological constant, based on the fact that such models are exactly solvable within the framework of a simple Lagrangian formulation. The essential quantum dynamical metric-field and the corresponding Hamiltonian, explicitly derived in terms of annihilation and creation operators, point out that the Wheeler - DeWitt equation is a natural (quantum) generalization of the $G_{44}$ - Einstein equation for the classical De Sitter spacetime and selects the physical states of the quantum De Sitter Universe. As a result of the exponential universal expansion, the usual Fock states (defined as the eigenstates of the number-operator) are no longer invariant under the derived Hamiltonian. They exhibit quantum fluctuation of the energy and of the metric field which lead to a (geometrical) volume quantization.
dc.description22 pages, LaTex
dc.identifierhttps://arxiv.org/abs/gr-qc/9506051
dc.identifierhttp://arxiv.org/abs/gr-qc/9506051
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/147730
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleA Toy Model Approach to the Canonical Non-perturbative Quantization of the Spatially Flat Robertson-Walker Spacetimes with Cosmological Constant
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