Fate of singularities in Bianchi type-III quantum cosmology

Details Fate of singularities in Bianchi type-III quantum cosmology Fate of singularities in Bianchi type-III quantum cosmology

Jun 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987phrvd..35.3760l&link_type=abstract

Physical Review D (Particles and Fields), Volume 35, Issue 12, 15 June 1987, pp.3760-3767

Mathematics

Logic

24

Canonical Formalism, Lagrangians, And Variational Principles, Exact Solutions

Scientific paper

We study the quantum cosmology of a locally rotationally symmetric vacuum Bianchi type-III minisuperspace model with a non-negative cosmological constant. The quantum state chosen by the Hartle-Hawking proposal corresponds to a particular ensemble of classical Lorentzian spacetimes, most of which have negligible anisotropy. This quantum state ceases, however, to correspond to most of these spacetimes near their singularities. This means that in the Hartle-Hawking quantum state, classical spacetime ceases to be a valid concept near most of the classical singularities of the model.

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