Billiard representation for pseudo-Euclidean Toda-like systems of cosmological origin

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dc.creatorIvashchuk, V. D.
dc.creatorMelnikov, V. N.
dc.date2008-11-03
dc.date.accessioned2026-07-07T10:15:18Z
dc.date.available2026-07-07T10:15:18Z
dc.descriptionThe pseudo-Euclidean Toda-like system of cosmological origin 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 (n-1)-dimensional Lobachevsky space H^{n-1}. The geometrical criterion for the finiteness of the billiard volume and its compactness is suggested. This criterion reduces the problem to the problem of illumination of (n-2)-dimensional sphere S^{n-2} by point-like sources. Some examples are considered.
dc.description14 pages, PDFLatex, 4 figures (PDF)
dc.identifierhttps://arxiv.org/abs/0811.0283
dc.identifierhttp://arxiv.org/abs/0811.0283
dc.identifierRegular & Chaotic Dynamics, 1, No 2, 23-35 (1996)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/173133
dc.subjectMathematical Physics
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectHigh Energy Physics - Theory
dc.titleBilliard representation for pseudo-Euclidean Toda-like systems of cosmological origin
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