On creation of scalar particles with Gauss-Bonnet type coupling to curvature in Friedmann cosmological models

Abstract

Calculations are presented for creation of massive and massless scalar particles coupled to Gauss-Bonnet type curvature in Friedmann cosmological models. It has been shown that, for fields of mass~m, the effect of the coupling parameter ζ with the Gauss-Bonnet invariant is insignificant if ζ m2 1 . In all cases under consideration, the created particle number is compatible by order of magnitude with the number of causally disconnected space-time regions by the Compton time, corresponding 1/m or ζ.

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