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Billiard Representation for Multidimensional Quantum Cosmology near the Singularity

V. D. Ivashchuk·V. N. Melnikov
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Abstract

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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V. D. Ivashchuk, V. N. Melnikov. 1994-11-04. Billiard Representation for Multidimensional Quantum Cosmology near the Singularity. https://doi.org/10.1007/3-540-60024-8_87

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