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Teoreticheskaya i Matematicheskaya Fizika, 1984, Volume 61, Number 3, Pages 327–346 (Mi tmf5736)  

This article is cited in 34 scientific papers (total in 34 papers)

Relativistic theory of gravitation

A. A. Logunov, M. A. Mestvirishvili
References:
Abstract: A relativistic theory of gravitation is constructed uniquely on the basis of the special principle of relativity and the principle of geometrization, the gravitational field being regarded as a physical field in the spirit of Faraday and Maxwell, possessing energy, momentum, and spin 2 and 0. The source of the gravitational field is the total conserved energy-momentum tensor of the matter and the gravitational field in Minkowski space. Conservation laws hold rigorously for the energy-momentum, and angular momentum of the matter and the gravitational field. The theory explains all the existing gravitational experiments. By virtue of the geometrization principle, the Riemannian space has a field origin in the theory, arising as an effective force space through the action of the gravitational field on the matter. The theory gives a prediction of exceptional power – the Universe is not closed, merely “flat”. It follows from this that in the Universe there must be “hidden mass” in some form of matter.
Received: 20.08.1984
English version:
Theoretical and Mathematical Physics, 1984, Volume 61, Issue 3, Pages 1170–1183
DOI: https://doi.org/10.1007/BF01035001
Bibliographic databases:
Language: Russian
Citation: A. A. Logunov, M. A. Mestvirishvili, “Relativistic theory of gravitation”, TMF, 61:3 (1984), 327–346; Theoret. and Math. Phys., 61:3 (1984), 1170–1183
Citation in format AMSBIB
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\by A.~A.~Logunov, M.~A.~Mestvirishvili
\paper Relativistic theory of gravitation
\jour TMF
\yr 1984
\vol 61
\issue 3
\pages 327--346
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\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=778355}
\zmath{https://zbmath.org/?q=an:0579.53052}
\transl
\jour Theoret. and Math. Phys.
\yr 1984
\vol 61
\issue 3
\pages 1170--1183
\crossref{https://doi.org/10.1007/BF01035001}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1984ALJ5900002}
Linking options:
  • https://www.mathnet.ru/eng/tmf5736
  • https://www.mathnet.ru/eng/tmf/v61/i3/p327
  • This publication is cited in the following 34 articles:
    1. M. A. Serdyukova, A. N. Serdyukov, “A massive gravitational field in flat spacetime. I. Gauge invariance and field equations”, PFMT, 2019, no. 2(39), 45–53  mathnet
    2. Alexander Zakharov, Predrag Jovanović, Dusko Borka, Vesna Borka Jovanović, V.A. Andrianov, V.A. Matveev, V.A. Rubakov, V.T. Kim, A.A. Andrianov, M.D. Fitkevich, “Trajectories of bright stars at the Galactic Center as a tool to evaluate a graviton mass”, EPJ Web Conf., 125 (2016), 01011  crossref
    3. A.F. Zakharov, P. Jovanović, D. Borka, V. Borka Jovanović, “Constraining the range of Yukawa gravity interaction from S2 star orbits II: bounds on graviton mass”, J. Cosmol. Astropart. Phys., 2016:05 (2016), 045  crossref
    4. Mariana Espinosa Aldama, “The gravity apple tree”, J. Phys.: Conf. Ser., 600 (2015), 012050  crossref
    5. S. S. Gershtein, A. A. Logunov, M. A. Mestvirishvili, “General relativity and the schwarzschild singularity”, Phys. Part. Nuclei, 39:1 (2008), 1  crossref
    6. S. S. Gershtein, A. A. Logunov, M. A. Mestvirishvili, “Gravitational field self-limitation and its role in the Universe”, Phys. Usp., 49:11 (2006), 1179–1195  mathnet  crossref  crossref  adsnasa  isi
    7. S. S. Gershtein, A. A. Logunov, M. A. Mestvirishvili, “Repulsive Forces in the Field Theory of Gravity”, Theoret. and Math. Phys., 145:2 (2005), 1604–1618  mathnet  crossref  crossref  adsnasa  isi  elib
    8. S. S. Gershtein, A. A. Logunov, M. A. Mestvirishvili, N. P. Tkachenko, “Graviton mass, quintessence, and oscillatory character of Universe evolution”, Phys. Atom. Nuclei, 67:8 (2004), 1596  crossref
    9. Vladimir V. Sokolov, “Linear and nonlinear gravidynamics: static field of a collapsar”, Astrophys Space Sci, 191:2 (1992), 231  crossref
    10. A. V. Genk, “Nonstatic centrally symmetric vacuum solution in the relativistic theory of gravitation”, Theoret. and Math. Phys., 88:2 (1991), 866–875  mathnet  crossref  mathscinet  isi
    11. A. V. Genk, “Impossibility of centrally symmetric shock waves in vacuum in the relativistic theory of gravitation”, Theoret. and Math. Phys., 79:3 (1989), 665–670  mathnet  crossref  mathscinet  isi
    12. K. A. Bronnikov, G. N. Shikin, “Some exact solutions in the relativistic theory of gravitation”, Theoret. and Math. Phys., 76:2 (1988), 879–886  mathnet  crossref  mathscinet  isi
    13. K. A. Sveshnikov, P. K. Silaev, “Some exact solutions for a scalar field in the relativistic theory of gravitation”, Theoret. and Math. Phys., 76:3 (1988), 1000–1002  mathnet  crossref  mathscinet  isi
    14. A. A. Bakhan'kov, “Stability of the motion of rotating test bodies in the relativistic theory of gravitation”, Theoret. and Math. Phys., 77:2 (1988), 1202–1210  mathnet  crossref  mathscinet  zmath  isi
    15. A. A. Logunov, Yu. M. Loskutov, M. A. Mestvirishvili, “The relativistic theory of gravitation and its consequences”, Phys. Usp., 31:7 (1988), 581–596  mathnet  mathnet  crossref  crossref
    16. A.A. Vlasov, “The effective action, the function “distribution” of spacetime and the relativistic theory of gravity”, Physics Letters A, 129:8-9 (1988), 433  crossref
    17. A. A. Logunov, “The relativistic theory of gravitation and new notions of space-time”, Theoret. and Math. Phys., 70:1 (1987), 1–10  mathnet  crossref  mathscinet  zmath  isi
    18. A. A. Vlasov, A. A. Logunov, “Exterior axisymmetric solution for a rotating body in the relativistic theory of gravitation”, Theoret. and Math. Phys., 70:2 (1987), 118–125  mathnet  crossref  mathscinet  zmath  isi
    19. A. A. Vlasov, A. A. Logunov, “Difference between gravitational collapse in the relativistic theory of gravitation and in the general theory of relativity”, Theoret. and Math. Phys., 71:3 (1987), 565–570  mathnet  crossref  mathscinet  zmath  isi
    20. A. A. Vlasov, “Mass of Newtonian stars in the relativistic theory of gravitation and in general relativity”, Theoret. and Math. Phys., 73:1 (1987), 1124–1129  mathnet  crossref  zmath  isi
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    Теоретическая и математическая физика Theoretical and Mathematical Physics
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