Quantum cosmology and recollapse

R. Laflamme and E. P. S. Shellard
Phys. Rev. D 35, 2315 – Published 15 April 1987
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Abstract

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.

  • Received 9 December 1986

DOI:https://doi.org/10.1103/PhysRevD.35.2315

©1987 American Physical Society

Authors & Affiliations

R. Laflamme and E. P. S. Shellard

  • Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Silver Street, Cambridge, CB3 9EW, United Kingdom

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Issue

Vol. 35, Iss. 8 — 15 April 1987

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