Quantum cosmology and recollapse

Journal Article · Wed Apr 15 04:00:00 EDT 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.2315· OSTI ID:6012544

Laflamme, R; Shellard, E P.S.

The wave function of the Universe defined by the Hartle-Hawking proposal is studied for two minisuperspace models, the Friedmann-Robertson-Walker universe with a massive scalar field and the anisotropic Kantowski-Sachs cosmology. Solutions of the Wheeler-DeWitt equation are evaluated numerically. We also examine the trajectories to which these correspond in the classical limit. Attention is focused on the fact that most classical trajectories recollapse to a singularity. They will add an oscillatory component to the wave function in the region of small three-volume where it is predominantly exponential. They will thus modify the original boundary conditions. The Kantowski-Sachs universes generically evolve from isotropy during expansion to increasing anisotropy during recollapse, ending as a black-hole interior. We comment, therefore, on the arrow of time naturally induced by the Hartle-Hawking proposal.

• Research Organization: Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, United Kingdom
• OSTI ID: 6012544
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

640106* -- Astrophysics & Cosmology-- Cosmology
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
BLACK HOLES
BOUNDARY CONDITIONS
CLASSICAL MECHANICS
COSMOLOGY
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC RADIATION
EQUATIONS
FEYNMAN PATH INTEGRAL
FUNCTIONS
HAMILTONIANS
INTEGRALS
MASS
MATHEMATICAL OPERATORS
MECHANICS
METRICS
MICROWAVE RADIATION
QUANTUM MECHANICS
QUANTUM OPERATORS
RADIATIONS
SCALAR FIELDS
UNIVERSE
WAVE FUNCTIONS