Hamiltonian formulation and canonical quantization of perfect-fluid-filled Kantowski-Sachs cosmological models

Journal Article · Wed Dec 15 04:00:00 EST 1982 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.26.3359· OSTI ID:6370441

Demaret, J; Hanquin, J L

A Hamiltonian formulation of anisotropic perfect-fluid-filled Kantowski-Sachs universes based on Demaret and Moncrief 's unconstrained Arnowitt-Deser-Misner Hamiltonian is given; the canonical equations are derived and shown to be equivalent to the field equations, which proves the coherence of the reduction process. A canonical quantization method equivalent to the one previously used to quantize the perfect-fluid-filled diagonal Bianchi types I, V, and IX cosmological models is applied to the Kantowski-Sachs universes, leading to a Schroedinger equation for the wave function of these models and thus to a probability interpretation of the formalism. The density of probability of finding these universes in the classical singular state is shown to be zero for each barotropic equation of state of the type p = (..gamma..-1)rho (1< or =..gamma..< or =2) apart from a set of measure zero of models corresponding to the stiff equation of state p = rho.

• Research Organization: Institut d'Astrophysique, Universite de Liege, B-4200, Cointe-Ougree, Belgium
• OSTI ID: 6370441
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 26:12; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics &amp; Cosmology-- Cosmology
645400 -- High Energy Physics-- Field Theory
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
COSMOLOGICAL MODELS
EQUATIONS
EQUATIONS OF STATE
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
HAMILTONIANS
LAGRANGIAN FIELD THEORY
MATHEMATICAL MODELS
MATHEMATICAL OPERATORS
PROBABILITY
QUANTUM FIELD THEORY
QUANTUM OPERATORS
SPACE-TIME
UNIVERSE
WAVE FUNCTIONS