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We use the Bogoliubov formalism to study both particles and gravitons creation at the reheating epoch, after a phase transition from inflation to a radiation-dominated universe. The modes of the inflaton field fluctuations and the scalar fluctuations of the metric at the end of inflation are obtained by using a recently introduced formalism related to the Induced Matter theory of gravity. The interesting result is that the number of created particles is bigger than 1090 on cosmological scales. Furthermore, the number of gravitons are nearly 10-17 times smaller than the number of created particles. In both cases, these numbers rapidly increase on cosmological scales.

Particles and gravitons creation after inflation from a 5D vacuum