Cosmological consequences of the redistribution of energy between matter
  components in the very early universe
  The evolution of matter in the expanding FRW universe during the time
interval between the end of inflation and the beginning of the
radiation-dominated era is studied. A constraint between the global geometry
and total amount of matter in the universe as a whole, which is valid during
the phase of an intensive transfer of energy to the matter degrees of freedom,
is introduced. The matter is considered as a perfect fluid with two components
between which there is energy exchange. The analytical solutions of the
Einstein equations are found. The limiting cases of the the Hubble expansion
rate and the total energy density, which correspond to matter production,
pressure-free and radiation-dominated phases are investigated. The transition
to the inflationary phase and a unidirectional evolution of matter in the
universe at all phases are discussed.
