Abstract:
A gauge principle is formulated and used to construct a Lagrangian density of the
gravitational field. It is shown that the Riemannian geometry of space-time is
uniquely determined only in the presence of matter. By virtue of the gauge
freedom, it is in principle impossible for the Riemannian geometry of space-time
To be determined by gravitational fields alone.
Citation:
A. A. Logunov, M. A. Mestvirishvili, “Gauge transformation in the relativistic theory of gravitation”, TMF, 67:3 (1986), 323–335; Theoret. and Math. Phys., 67:3 (1986), 529–536
\Bibitem{LogMes86}
\by A.~A.~Logunov, M.~A.~Mestvirishvili
\paper Gauge transformation in the relativistic theory of gravitation
\jour TMF
\yr 1986
\vol 67
\issue 3
\pages 323--335
\mathnet{http://mi.mathnet.ru/tmf5081}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=858806}
\zmath{https://zbmath.org/?q=an:0676.53082}
\transl
\jour Theoret. and Math. Phys.
\yr 1986
\vol 67
\issue 3
\pages 529--536
\crossref{https://doi.org/10.1007/BF01028688}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1986F672900001}
Linking options:
https://www.mathnet.ru/eng/tmf5081
https://www.mathnet.ru/eng/tmf/v67/i3/p323
This publication is cited in the following 3 articles:
A. A. Logunov, M. A. Mestvirishvili, Yu. V. Chugreev, “The relativistic theory of gravitation based on a space of constant curvature”, Theoret. and Math. Phys., 86:2 (1991), 111–120
A. A. Logunov, Yu. M. Loskutov, M. A. Mestvirishvili, “The relativistic theory of gravitation and its consequences”, Phys. Usp., 31:7 (1988), 581–596
A. A. Logunov, Yu. M. Loskutov, M. A. Mestvirishvili, “Relativistic theory of gravitation and criticism of general relativity”, Theoret. and Math. Phys., 73:2 (1987), 1131–1148
Citation in format AMSBIB
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