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Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields

Authors
  • Bachelot, Alain
Type
Published Article
Publication Date
Dec 17, 2018
Submission Date
Jun 05, 2018
Identifiers
DOI: 10.1007/s00220-019-03356-0
Source
arXiv
License
Yellow
External links

Abstract

We investigate the propagation of the scalar waves in the FLRW universes beginning with a Big Bang and ending with a Big Crunch, a Big Rip, a Big Brake or a Sudden Singularity. We obtain the sharp description of the asymptotics for the solutions of the linear Klein-Gordon equation, and similar results for the semilinear equation with a subcritical exponent. We prove that the number of cosmological particle creation is finite under general assumptions on the initial Big Bang and the final Big Crunch or Big Brake.

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