Quantization of a 2D Minisuperspace Model in Dilaton-Einstein Gravity

Details Quantization of a 2D Minisuperspace Model in Dilaton-Einstein Gravity Quantization of a 2D Minisuperspace Model in Dilaton-Einstein Gravity

1996-02-29

arxiv.org/abs/gr-qc/9602062v1

Int.J.Mod.Phys. D6 (1997) 39-48

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, plain tex, no figures

Scientific paper

10.1142/S0218271897000030

We investigate a minisuperspace model of Einstein gravity plus dilaton that describes a static spherically symmetric configuration or a Kantowski - Sachs like universe. We develop the canonical formalism and identify canonical quantities that generate rigid symmetries of the Hamiltonian. Quantization is performed by the Dirac and the reduced methods. Both approaches lead to the same positive definite Hilbert space.

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