Tunneling of the Closed Friedmann Universe with Generation of Scalar   Waves
  The evolution of the closed Friedmann Universe with a packet of short scalar waves is considered with the help of the Wheeler--DeWitt equation. The packet ensures conservation of homogeneity and isotropy of the metric on average. It is shown that during tunneling the amplitudes of short waves of a scalar field can increase catastrophically promptly if their influence to the metric do not take into account. This effect is similar to the Rubakov-effect of catastrophic particle creation calculated already in 1984.   In our approach to the problem it is possible to consider self-consistent dynamics of the expansion of the Universe and amplification of short waves.   It results in a decrease of the barrier and interruption of amplification of waves, and we get an exit of the wave function from the quantum to the classically available region. 
V. Ts. Gurovich, H.-J. Schmidt and I. V. Tokareva