Billiard Representation for Multidimensional Quantum Cosmology near the Singularity

Details Billiard Representation for Multidimensional Quantum Cosmology near the Singularity Billiard Representation for Multidimensional Quantum Cosmology near the Singularity

1994-11-04

arxiv.org/abs/gr-qc/9411012v1

Class. Quant. Grav. 12 (1995) 809

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

6 pages, LaTex

Scientific paper

10.1007/3-540-60024-8_87

The degenerate Lagrangian system describing a lot of cosmological models is
considered. When certain restrictions on the parameters of the model are
imposed, the dynamics of the model near the "singularity" is reduced to a
billiard on the Lobachevsky space. The Wheeler-DeWitt equation in the
asymptotical regime is solved and a third-quantized model is suggested.

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