On the Relation between Classical and Quantum Cosmology in a 2-Dimensional Dilaton-Gravity Model

Details On the Relation between Classical and Quantum Cosmology in a 2-Dimensional Dilaton-Gravity Model On the Relation between Classical and Quantum Cosmology in a 2-Dimensional Dilaton-Gravity Model

1994-03-02

arxiv.org/abs/gr-qc/9403006v1

Class.Quant.Grav.11:1243-1254,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11p, Lanc-Th-G9402

Scientific paper

10.1088/0264-9381/11/5/011

We analyse the classical and quantum theory of a scalar field interacting with gravitation in two dimensions. We describe a class of analytic solutions to the Wheeler-DeWitt equation from which we are able to synthesise states that give prominence to a set of classical cosmologies. These states relate in a remarkable way to the general solution of the classical field equations. We express these relations, without approximation, in terms of a metric and a closed form on the domain of quantum states.

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