Kasner-like, inflationary and steady-state solutions in multi-dimensional cosmology

Mathematics – Logic

Scientific paper

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Scientific paper

Multi-dimensional cosmological models with n (n > 1) Ricci-flat spaces and a scalar field are discussed classically and with respect to canonical quantization. These models are integrable. Two classes of solutions are obtained. One class of solutions generalizes the Kasner solutions. For special additional conditions we find another solution describing extended inflation connected with a constant volume of the whole multidimensional space (steady-state).

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