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TMF, 1974, Volume 19, Number 1, Pages 59–75 (Mi tmf3565)  

This article is cited in 6 scientific papers (total in 6 papers)

Particle creation from vacuum by a nonstationary gravitational field in the canonical formalism

A. A. Grib, B. A. Levitskii, V. M. Mostepanenko


Abstract: A study is made of particle creation from vacuum in isotropic and anisotropic models of the universe. By diagonalizing the Hamiltonian by Bogolyubov transformations, we obtain exact expressions for the particle number density and for the vacuum expectation values of the energy-momentum tensor of the created pairs. It is shown that near the singularity the equation of state of the created particles is $p\approx\varepsilon/3$. The problem of allowing for the reciprocal influence of particles on the metric is discussed.

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English version:
Theoretical and Mathematical Physics, 1974, 19:1, 349–361

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Received: 21.03.1973

Citation: A. A. Grib, B. A. Levitskii, V. M. Mostepanenko, “Particle creation from vacuum by a nonstationary gravitational field in the canonical formalism”, TMF, 19:1 (1974), 59–75; Theoret. and Math. Phys., 19:1 (1974), 349–361

Citation in format AMSBIB
\Bibitem{GriLevMos74}
\by A.~A.~Grib, B.~A.~Levitskii, V.~M.~Mostepanenko
\paper Particle creation from vacuum by a~nonstationary gravitational field in the canonical formalism
\jour TMF
\yr 1974
\vol 19
\issue 1
\pages 59--75
\mathnet{http://mi.mathnet.ru/tmf3565}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=468922}
\transl
\jour Theoret. and Math. Phys.
\yr 1974
\vol 19
\issue 1
\pages 349--361
\crossref{https://doi.org/10.1007/BF01037191}


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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. A. A. Grib, V. M. Mostepanenko, V. M. Frolov, “Breaking of conformal symmetry and quantization in curved spacetime”, Theoret. and Math. Phys., 37:3 (1978), 1065–1070  mathnet  crossref  mathscinet
    2. A. N. Aleksandrov, K. A. Piragas, “Gfodesic structure”, Theoret. and Math. Phys., 38:1 (1979), 48–56  mathnet  crossref  mathscinet  zmath
    3. V. N. Ponomarev, P. I. Pronin, “Production of massless scalar particles by a torsion field”, Theoret. and Math. Phys., 39:3 (1979), 559–561  mathnet  crossref  isi
    4. S. G. Mamaev, “Vacuum expectation values of the energy-momentum tensor of quantized fields in a homogeneous isotropic space-time”, Theoret. and Math. Phys., 42:3 (1980), 229–237  mathnet  crossref  isi
    5. O. Yu. Karmanov, M. B. Menskii, “Particle production near the cosmological singularity”, Theoret. and Math. Phys., 42:1 (1980), 14–22  mathnet  crossref  mathscinet  isi
    6. V. G. Lapchinskii, V. A. Rubakov, “Spontaneous symmetry breaking in an open Friedmann universe”, Theoret. and Math. Phys., 42:1 (1980), 23–28  mathnet  crossref  mathscinet  isi
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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