Classical and quantum anisotropic wormholes in pure general relativity

Abstract

In the homogeneous and isotropic Friedmann–Robertson–Walker minisuperspace model, it is known that there are no Euclidean wormhole solutions in the pure gravity system. Here it is demonstrated explicitly that in Taub cosmology, which is one of the simplest anisotropic cosmology models, wormhole solutions do exist in pure general relativity in both classical and quantum contexts. Indeed, it is realized that it is the nonvanishing momentum or the energy associated with the anisotropy change, that essentially renders the occurrence of both classical and quantum wormholes possible.