On billiard approach in multidimensional cosmological models
| dc.creator | Ivashchuk, V. D. | |
| dc.creator | Melnikov, V. N. | |
| dc.date | 2008-11-17 | |
| dc.date.accessioned | 2026-07-07T12:53:27Z | |
| dc.date.available | 2026-07-07T12:53:27Z | |
| dc.description | A short overview of the billiard approach for cosmological-type models with n Einstein factor-spaces is presented. We start with the billiard representation for pseudo-Euclidean Toda-like systems of cosmological origin. Then we consider cosmological model with multicomponent "perfect-fluid" and cosmological-type model with composite branes. The second one describes cosmological and spherically-symmetric configurations in a theory with scalar fields and fields of forms. The conditions for appearance of asymptotical Kasner-like and oscillating behaviors in the limit τ\to +0 and τ\to + \infty (where τis a "synchronous-type" variable) are formulated (e.g. in terms of inequalities on Kasner parameters). Examples of billiards related to the hyperbolic Kac-Moody algebras E_{10}, AE_3 and A_{1,II} are given. | |
| dc.description | 18 pages, Latex, based on plenary report at RUSGRAV-13 (23-28 June, 2008, PFUR, Moscow) | |
| dc.identifier | https://arxiv.org/abs/0811.2786 | |
| dc.identifier | http://arxiv.org/abs/0811.2786 | |
| dc.identifier | Grav.Cosmol.15:49-58,2009 | |
| dc.identifier | doi:10.1134/S0202289309010137 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/223624 | |
| dc.subject | High Energy Physics - Theory | |
| dc.subject | General Relativity and Quantum Cosmology | |
| dc.title | On billiard approach in multidimensional cosmological models | |
| dc.type | text |