Dimensional reduction and the stability problem in multidimensional homogeneous cosmology.

Mathematics – Logic

Scientific paper

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Cosmological Models:Supergravity, Cosmology:Kaluza-Klein Theory, Supergravity:Cosmological Models

Scientific paper

We show the noneffectiveness of the classical mechanism of the dynamical reduction within the class of arbitrary-dimensional homogeneous cosmological models. The stability of solutions with the static microspace within the class of Bianchi (withn {a/a}=0) × TD models is also discussed.

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