Multidimensional cosmology and Toda-like systems

Physics

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Scientific paper

A cosmological model describing the evolution of n Einstein spaces is considered. For n1>=2, n-n1>=1, where n1 is the number of spaces with non-zero curvature, the model is reduced to a Toda-like system that does not satisfy the Adler-van Moerbeke criterion of integrability. In the case n1=0, 1 (n>=2) the Eistein equations are integrated and tree-generalizations of the solutions are considered.

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