Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields
Mathematical Physics
2019-07-25 v3 math.MP
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.
Cite
@article{arxiv.1806.01543,
title = {Wave asymptotics at a cosmological time-singularity: classical and quantum scalar fields},
author = {Alain Bachelot},
journal= {arXiv preprint arXiv:1806.01543},
year = {2019}
}
Comments
40 p., 5 figures