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Teoreticheskaya i Matematicheskaya Fizika, 1993, Volume 95, Number 3, Pages 541–548 (Mi tmf1485)  
This article is cited in 2 scientific papers (total in 2 papers)

Three-dimensional volume of a closed universe as a canonical time parameter

N. N. Gorobey, A. S. Lukyanenko

State Technological Institute of St. Petersburg
Full-text PDF (723 kB) Citations (2)
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Abstract: The dynamics of a spatially closed universe is studied in gravitation theory by means of the eigenfunctions and eigenvalues of the 3D projection of the Dirac operator. In a gauge that we call the Ashtekar gauge and construct by using an eigenfunction of this operator, the 3D volume of a spatial section is a canonical parameter, and the energy is a positive-definite functional of the dynamical variables (on the region of the phase space in which ˙V>0) proportional to the corresponding eigenvalue. There is a discrete set of frames of reference distinguished in this manner.
Received: 26.03.1992
English version:
Theoretical and Mathematical Physics, 1993, Volume 95, Issue 3, Pages 766–770
DOI: https://doi.org/10.1007/BF01017522
Bibliographic databases:
Language: Russian
Citation: N. N. Gorobey, A. S. Lukyanenko, “Three-dimensional volume of a closed universe as a canonical time parameter”, TMF, 95:3 (1993), 541–548; Theoret. and Math. Phys., 95:3 (1993), 766–770
Citation in format AMSBIB
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\by N.~N.~Gorobey, A.~S.~Lukyanenko
\paper Three-dimensional volume of a~closed universe as a~canonical time parameter
\jour TMF
\yr 1993
\vol 95
\issue 3
\pages 541--548
\mathnet{http://mi.mathnet.ru/tmf1485}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1243411}
\zmath{https://zbmath.org/?q=an:0850.53032}
\transl
\jour Theoret. and Math. Phys.
\yr 1993
\vol 95
\issue 3
\pages 766--770
\crossref{https://doi.org/10.1007/BF01017522}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1993ML77300010}
Linking options:
  • https://www.mathnet.ru/eng/tmf1485
  • https://www.mathnet.ru/eng/tmf/v95/i3/p541
    • This publication is cited in the following 2 articles:
    1. A. E. Pavlov, “Intrinsic time in Wheeler–DeWitt conformal superspace”, Gravit. Cosmol., 23:3 (2017), 208  crossref
    2. N. N. Gorobey, A. S. Lukyanenko, “Operator representation of gravitational constraints for the case of the closed universe”, Theoret. and Math. Phys., 105:3 (1995), 1603–1606  mathnet  crossref  mathscinet  zmath  isi
    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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    Abstract page:382
    Full-text PDF :138
    References:59
    First page:1
     
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