Abstract
Abstract A multidimensional cosmological model describing the evolution of n Einstein spaces in the presence of a multicomponent perfect fluid is considered. When vectors corresponding to the equations of state of the components are orthogonal with respect to the minisuperspace metric, the Einstein equations are integrated and a Kasner-like form of the solutions is presented. For special sets of parameters the cosmological model is reduced to the Euclidean Toda-like system connected with some Lie algebra. PACS numbers: 04.20.J, 04.60.+n, 03.65.Ge
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