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 TMF, 1984, Volume 60, Number 1, Pages 3–8 (Mi tmf5090)

Minkowski space as a basis for a physical theory of gravitation

A. A. Logunov, A. A. Vlasov

Abstract: A theory of gravitation with incomplete geometrization is proposed. The approach differs in principle from general relativity. The coordinate system is completely specified by the metric tensor of fiat space-time, as is generally done in field theories of the other forces of nature. A complete system of ten field equations is obtained for the physical tensor of the gravitational field in the theory. Six of these equations are identical to the Hilbert–Einstein equations. The four additional equations, which determine the nature of the gravitational field, have a universal nature and radically change accepted physical notions. The theory possesses all the conservation laws.

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English version:
Theoretical and Mathematical Physics, 1984, 60:1, 635–638

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Citation: A. A. Logunov, A. A. Vlasov, “Minkowski space as a basis for a physical theory of gravitation”, TMF, 60:1 (1984), 3–8; Theoret. and Math. Phys., 60:1 (1984), 635–638

Citation in format AMSBIB
\Bibitem{LogVla84} \by A.~A.~Logunov, A.~A.~Vlasov \paper Minkowski space as a basis for a physical theory of gravitation \jour TMF \yr 1984 \vol 60 \issue 1 \pages 3--8 \mathnet{http://mi.mathnet.ru/tmf5090} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=760436} \zmath{https://zbmath.org/?q=an:0576.53072} \transl \jour Theoret. and Math. Phys. \yr 1984 \vol 60 \issue 1 \pages 635--638 \crossref{https://doi.org/10.1007/BF01018245} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1984AAD2600001} 

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Citing articles on Google Scholar: Russian citations, English citations
Related articles on Google Scholar: Russian articles, English articles

This publication is cited in the following articles:
1. A. A. Vlasov, A. A. Logunov, “Spherically symmetric solution in the theory of gravitation based on Minkowski space”, Theoret. and Math. Phys., 60:2 (1984), 739–743
2. A. A. Logunov, M. A. Mestvirishvili, “Relativistic theory of gravitation”, Theoret. and Math. Phys., 61:3 (1984), 1170–1183
3. A. A. Vlasov, A. A. Logunov, “Impossibility of catastrophically strong contraction of a massive body in the relativistic theory of gravitation”, Theoret. and Math. Phys., 63:1 (1985), 323–328
4. A. A. Vlasov, A. A. Logunov, “Gravitational field of a nonstatic spherically symmetric body in the relativistic theory of gravitation”, Theoret. and Math. Phys., 64:1 (1985), 647–649
5. A. A. Logunov, M. A. Mestvirishvili, “Relativistic theory of gravitation and the graviton rest mass”, Theoret. and Math. Phys., 65:1 (1985), 971–979
6. A. A. Logunov, Yu. M. Loskutov, “Contradictory character of general relativity. The relativistic theory of gravitation”, Theoret. and Math. Phys., 67:2 (1986), 425–433
7. A. A. Logunov, M. A. Mestvirishvili, “Gauge transformation in the relativistic theory of gravitation”, Theoret. and Math. Phys., 67:3 (1986), 529–536
8. A. A. Vlasov, A. A. Logunov, “Evolution of the universe in the relativistic theory of gravitation”, Theoret. and Math. Phys., 69:3 (1986), 1188–1192
9. A. A. Logunov, Yu. M. Loskutov, “Experimental confirmation of relativistic theory of gravitation in the delay of radio signals”, Theoret. and Math. Phys., 66:1 (1986), 99–101
10. A. A. Vlasov, A. A. Logunov, “Gravitational collapse in the relativistic theory of gravitation”, Theoret. and Math. Phys., 66:2 (1986), 107–114
11. A. A. Logunov, Yu. M. Loskutov, “Orbital period of a satellite of a planet in the relativistic theory of gravitation and in general relativity and the possibility of experimental verification of delay due to gravitational interaction”, Theoret. and Math. Phys., 67:1 (1986), 319–322
12. 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
13. 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
14. 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
15. 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
16. 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
17. K. A. Bronnikov, G. N. Shikin, “Some exact solutions in the relativistic theory of gravitation”, Theoret. and Math. Phys., 76:2 (1988), 879–886
18. A. A. Vlasov, O. V. Monovsky, “The problem of an expanding shell in the relativistic theory of gravitation”, Theoret. and Math. Phys., 91:2 (1992), 561–569
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