The dimensional reduction in a multi-dimensional cosmology

Physics

Scientific paper

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Cosmology, Einstein Equations, Space-Time Functions, Vacuum, Asymptotic Methods, Degrees Of Freedom

Scientific paper

Einstein's field equations are solved for the case of the eleven-dimensional vacuum spacetime which is the product R x Bianchi V x T to the 7th, where T is a seven-dimensional torus. Among all possible solutions, those in which the macroscopic space expands and the microscopic space contracts to a finite size are identified. The solutions with this property are 'typical' within the considered class. They implement the idea of a purely dynamical dimensional reduction.

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