Billiard Representation for Multidimensional Quantum Cosmology near the Singularity
General Relativity and Quantum Cosmology
2009-10-22 v1
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.
Cite
@article{arxiv.gr-qc/9411012,
title = {Billiard Representation for Multidimensional Quantum Cosmology near the Singularity},
author = {V. D. Ivashchuk and V. N. Melnikov},
journal= {arXiv preprint arXiv:gr-qc/9411012},
year = {2009}
}
Comments
6 pages, LaTex