The wave function of the Universe with Lorentzian wormhole

Abstract

The minisuperspace wave functions of the Universe with Lorentzian wormhole is studied. Here the dynamical wormhole is considered as one with the time-varying throat and it is assumed to be comoving with the Universe. The size of the potential of the Wheeler-DeWitt equation for the Universe is reduced by the effect of wormhole from the case without any wormhole. Thus the wave function is obtained by WKB method and related physical properties are dicussed.