General Relativity and Gravitation

, Volume 7, Issue 6, pp 535–547 | Cite as

Particle creation from vacuum in homogeneous isotropic models of the Universe

  • A. A. Grib
  • S. G. Mamayev
  • V. M. Mostepanenko


Particle creation in Friedman models of the open, closed, and quasi-Euclidean types is considered. The new method of calculation of probabilities of pair creation from vacuum by nonstationary external gravitational field is developed. This method is based on the diagonalization of the energy operator with the help of time-dependent canonical transformations. Finite numerical estimates for the densities of created particles and antiparticles are obtained both for early and modern stages of the evolution of the Universe.


Differential Geometry Gravitational Field Numerical Estimate Energy Operator Canonical Transformation 
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Copyright information

© Plenum Publishing Corporation 1976

Authors and Affiliations

  • A. A. Grib
    • 1
    • 2
  • S. G. Mamayev
    • 1
    • 2
  • V. M. Mostepanenko
    • 1
    • 2
  1. 1.Department of Theoretical PhysicsLeningrad State UniversityLeningradUSSR
  2. 2.Department of MathematicsLeningrad Electrotechnical InstituteLeningradUSSR

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