Multiple Production of Bianchi Type-I Universes

Abstract

The procedure similar to an ordinary quantum field theory in curved spacetime is applied to study the Bianchi type-I universes with a radiation field source. The Wheeler-De Witt equation satisfied by the cosmological wave function is found. After the wave function was regarded as a universe field in the minisuperspace, not only the difficulty in a probabilistic interpretation in the quantum cosmology can be circumvented, but also the conclusion of the multiple production of universes is obtained, and the average number of various universes created from `nothing' is estimated.