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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 is not taken 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 a 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.

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Author details:Viktor Gurovich, Hans-Jürgen Schmidt, Ira Tokareva
Publication type:Article
Language:English
Year of first publication:2001
Publication year:2001
Release date:2017/03/24
Source:General Relativity and Gravitation. - 33 (2001), 3, S. 591 - 601
Organizational units:Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik
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