Summary
We consider statistical properties of massive non-relativistic bosons arising at the first stage of reheating as a result of quantum decay of a classical inflaton field. We use the cosmological model describing the dynamics of a transition from the inflationary stage to a quasi-dust stage without imposing the slow-rolling hypothesis. In this framework, we apply statistics and find that the process of emerging of massive non-relativistic bosons at the first stage of reheating looks like evaporation of a Bose condensate. They are described by the equation of state for an ideal quantum degenerate Bose gas which has the Gibbons-Hawking temperature related to the de Sitter event horizon.
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Capozziello, S., de Ritis, R., Dymnikova, I. et al. Temperature at the first stage of reheating in in flationary cosmology without slow rolling. Nuov Cim B 111, 623–630 (1996). https://doi.org/10.1007/BF02726654
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DOI: https://doi.org/10.1007/BF02726654