Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields
arXiv:1806.01543 · doi:10.1007/s00220-019-03356-0
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.
40 p., 5 figures
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