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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Ivashchuk, V.D., Melnikov, V.N. (1995). Billiard representation for multidimensional quantum cosmology near the singularity. In: Occhionero, F. (eds) Birth of the Universe and Fundamental Physics. Lecture Notes in Physics, vol 455. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-60024-8_87
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DOI: https://doi.org/10.1007/3-540-60024-8_87
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