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Teoreticheskaya i Matematicheskaya Fizika, 1977, Volume 33, Number 3, Pages 364–376 (Mi tmf3443)  

This article is cited in 108 scientific papers (total in 108 papers)

Quantum gravitation: Quantization of the Friedmann model

V. G. Lapchinskii, V. A. Rubakov
References:
Abstract: Cosmological model of the Friedmann world filled by ideal liquid with the equation of state $p=K\rho$ is studied in the framework of explicit canonical quantization of gravitation by the Arnowitt–Deser–Misner (ADM) method and in the framework of the superspatial Dirac method. It is shown that the collapse does not take place in the model (the Dirac method and the ADM method when the time is chosen out of matter variables). If the time is chosen out of geometrical variables, the Friedmann Universe can be in the eigen-state of the Hamiltonian with the energy eigen-values depending on time. Physical interpretation of the results obtained is discussed.
Received: 24.05.1976
Revised: 01.03.1977
English version:
Theoretical and Mathematical Physics, 1977, Volume 33, Issue 3, Pages 1076–1084
DOI: https://doi.org/10.1007/BF01036991
Language: Russian
Citation: V. G. Lapchinskii, V. A. Rubakov, “Quantum gravitation: Quantization of the Friedmann model”, TMF, 33:3 (1977), 364–376; Theoret. and Math. Phys., 33:3 (1977), 1076–1084
Citation in format AMSBIB
\Bibitem{LapRub77}
\by V.~G.~Lapchinskii, V.~A.~Rubakov
\paper Quantum gravitation: Quantization of the Friedmann model
\jour TMF
\yr 1977
\vol 33
\issue 3
\pages 364--376
\mathnet{http://mi.mathnet.ru/tmf3443}
\transl
\jour Theoret. and Math. Phys.
\yr 1977
\vol 33
\issue 3
\pages 1076--1084
\crossref{https://doi.org/10.1007/BF01036991}
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  • https://www.mathnet.ru/eng/tmf/v33/i3/p364
  • This publication is cited in the following 108 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Теоретическая и математическая физика Theoretical and Mathematical Physics
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