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

Calculations are presented for creation of massive and massless scalar particles coupled to Gauss-Bonnet type curvature in Friedmann cosmologicalmodels. It has been shown that, for fields of mass m, the effect of the coupling parameter zeta with the Gauss-Bonnet invariant is insignificant if zeta m (2) a parts per thousand(a) 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 to 1/m or root zeta.