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arXiv · hep-th/9503223

Multidimensional Classical and Quantum Cosmology with Perfect Fluid

V. D. Ivashchuk·V. N. Melnikov
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Abstract

A cosmological model describing the evolution of n Ricci-flat spaces (n>1) in the presence of 1-component perfect-fluid and minimally coupled scalar field is considered. When the pressures in all spaces are proportional to the density, the Einstein and Wheeler-DeWitt equations are integrated for a large variety of parameters. Classical and quantum wormhole solutions are obtained for negative density. Some special classes of solutions, e.g. solutions with spontaneous and dynamical compactification, exponential and power-law inflations, are singled out. For positive density a third quantized cosmological model is considered and the Planckian spectrum of ``created universes'' is obtained.

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V. D. Ivashchuk, V. N. Melnikov. 2006-12-28. Multidimensional Classical and Quantum Cosmology with Perfect Fluid. https://arxiv.org/abs/hep-th/9503223

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