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TMF, 1979, Volume 41, Number 2, Pages 245–255 (Mi tmf3058)  

This article is cited in 1 scientific paper (total in 1 paper)

Propagators and pair production in a homogeneous isotropic universe

O. Yu. Karmanov, M. B. Menskii


Abstract: A covariant method of defining positive-frequency functions in an external gravitational field based on the postulate that the causal propagator propagates particles into the future and antiparticles into the past is applied to the homogeneous isotropic model of the Universe with scale factor $a(t)=t$. Postive- and negative-frequency wave functions are found that define the vacuums of scalar particles in the future asymptotic region and near the singularity. The probability of pair production in such a model is calculated. The cases when the spatial section of space-time is a fiat space or a three-dimensional sphere are considered.

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English version:
Theoretical and Mathematical Physics, 1979, 41:2, 1003–1009

Bibliographic databases:

Received: 08.08.1978

Citation: O. Yu. Karmanov, M. B. Menskii, “Propagators and pair production in a homogeneous isotropic universe”, TMF, 41:2 (1979), 245–255; Theoret. and Math. Phys., 41:2 (1979), 1003–1009

Citation in format AMSBIB
\Bibitem{KarMen79}
\by O.~Yu.~Karmanov, M.~B.~Menskii
\paper Propagators and pair production in a~homogeneous isotropic universe
\jour TMF
\yr 1979
\vol 41
\issue 2
\pages 245--255
\mathnet{http://mi.mathnet.ru/tmf3058}
\transl
\jour Theoret. and Math. Phys.
\yr 1979
\vol 41
\issue 2
\pages 1003--1009
\crossref{https://doi.org/10.1007/BF01028506}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1979JU82000008}


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  • http://mi.mathnet.ru/eng/tmf/v41/i2/p245

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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. 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
  • Теоретическая и математическая физика Theoretical and Mathematical Physics
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