Multidimensional classical and quantum wormholes in models with cosmological constant

Abstract

A multidimensional cosmological model with space-time consisting of n ( n ≥ 2) Einstein spaces M i is investigated in the presence of a cosmological constant A and a homogeneous minimally coupled scalar field (t) as a matter source. Classical and quantum wormhole solutions are obtained for Λ < 0 and all M i being Ricci-flat. Classical wormhole solutions are also found for Λ < 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.