Dilaton quantum cosmology in two dimensions

Details Dilaton quantum cosmology in two dimensions Dilaton quantum cosmology in two dimensions

Nov 1992

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1992stin...9413361m&link_type=abstract

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Mathematics

Cosmology, Gravitation, Quantum Theory, Two Dimensional Models, Universe, Astronomical Models, Invariance, Singularity (Mathematics), Wave Functions

Scientific paper

We consider a renormalizable two-dimensional model of dilaton gravity coupled to a set of conformal fields as a toy model for quantum cosmology. We discuss the cosmological solutions of the model and study the effect of including the back reaction due to quantum corrections. As a result, when the matter density is below some threshold new singularities form in a weak coupling region, which suggests that they will not be removed in full quantum theory. We also solve the Wheeler-DeWitt equation. Depending on the quantum state of the Universe, the singularities may appear in a quantum region where the wave function is not oscillatory, i.e., when there is not a well defined notion of classical spacetime.

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