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Zapiski Nauchnykh Seminarov POMI, 1999, Volume 261, Pages 155–166 (Mi znsl1094)  

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

The Einstein equations in the absence of matter fields on a 5-manifold with the causal structure

V. R. Krym

Sant-Petersburg State Agrarian University
Full-text PDF (199 kB) Citations (1)
Abstract: We consider a 5-manifold with restricted smooth structure and appropriate group of coordinate transfirmations which includes general relativity and gauge transformations. An explicit expression for the Riemannian curvature of a 4-dimensional vector distribution leads to classical Einstein and Maxwell equations.
Received: 03.06.1999
English version:
Journal of Mathematical Sciences (New York), 2002, Volume 110, Issue 4, Pages 2841–2847
DOI: https://doi.org/10.1023/A:1015358530515
Bibliographic databases:
UDC: 514.822
Language: Russian
Citation: V. R. Krym, “The Einstein equations in the absence of matter fields on a 5-manifold with the causal structure”, Geometry and topology. Part 4, Zap. Nauchn. Sem. POMI, 261, POMI, St. Petersburg, 1999, 155–166; J. Math. Sci. (New York), 110:4 (2002), 2841–2847
Citation in format AMSBIB
\Bibitem{Kry99}
\by V.~R.~Krym
\paper The Einstein equations in the absence of matter fields on a 5-manifold with the causal structure
\inbook Geometry and topology. Part~4
\serial Zap. Nauchn. Sem. POMI
\yr 1999
\vol 261
\pages 155--166
\publ POMI
\publaddr St.~Petersburg
\mathnet{http://mi.mathnet.ru/znsl1094}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1758423}
\zmath{https://zbmath.org/?q=an:0997.83069}
\transl
\jour J. Math. Sci. (New York)
\yr 2002
\vol 110
\issue 4
\pages 2841--2847
\crossref{https://doi.org/10.1023/A:1015358530515}
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  • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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