Multidimensional Classical and Quantum Wormholes in Models with Cosmological Constant

Abstract

A multidimensional cosmological model with space-time consisting of $n(n\ge 2)$ Einstein spaces $M_i$ is investigated in the presence of a cosmological constant $\Lambda$ and a homogeneous minimally coupled scalar field $\phi (t)$ as a matter source. Classical and quantum wormhole solutions are obtained for $\Lambda <0$ and all $M_i$ being Ricci-flat. Classical wormhole solutions are also found for $\Lambda <0$ and only one of the $M_i$ being Ricci-flat for the case of spontaneous compactification of the internal dimensions with fine tuning of parameters.

31 pages, 5 figures available on request from [email protected], LaTeX, Potsdam University, preprint AIP 94-06

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