Creation of fermion pairs near the cosmological singularity

Abstract The energy density ϵ and the pressure P of fermion pairs near the homogeneous isotropic singularity are obtained. In general case the contributions of the real pairs and the virtual ones to the ϵ and the P are approximately equal. The contribution of the real pairs is leading when the law of the expansion is a ( t ) = a 1 t q , q − 1 ⪡ 1. In this case all the matter in the Friedman's cosmological model can be created by a quantum explosion.