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 TMF, 1982, Volume 50, Number 1, Pages 3–76 (Mi tmf2090)

New theory of space-time and gravitation

V. I. Denisov, A. A. Logunov

Abstract: A field theory of gravitation with minimal coupling is constructed. The gravitational field is described by a symmetric tensor field of second rank in pseudo-Euclidean space-time. The theory is based on the requirement that conservation laws exist for the gravitational field and the matter taken together, this requirement being combined with the geometrization principle.
The field theory of gravitation has the same post-Newtonian parameters as the general theory of relativity, so that these two theories are indistinguishable from the point of view of all post-Newtonian experiments. However, the descriptions of effects in strong gravitational fields and also the properties of gravitational waves differ strongly in the two theories. For example, in the field theory of gravitation there is no gravitational red shift of the frequency, beam deflection, or time delay associated with the propagation of gravitational waves in external fields. These differences have made it possible to propose a number of gravitational-wave experiments to test the predictions of general relativity and the field theory. A model of the Universe in the field theory of gravitation makes it possible to describe the cosmological frequency red shift. The evolution of this model is determined by the deceleration parameter $q_0$: for $q_0\leqslant 4-\frac32\alpha$, the Universe will expand for ever, whereas for $q_0>4-\dfrac32\alpha$ the “expansion” will be replaced after a time by “contraction”, and the Universe will return to a singular state.

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English version:
Theoretical and Mathematical Physics, 1982, 50:1, 1–48

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Citation: V. I. Denisov, A. A. Logunov, “New theory of space-time and gravitation”, TMF, 50:1 (1982), 3–76; Theoret. and Math. Phys., 50:1 (1982), 1–48

Citation in format AMSBIB
\Bibitem{DenLog82} \by V.~I.~Denisov, A.~A.~Logunov \paper New theory of space-time and gravitation \jour TMF \yr 1982 \vol 50 \issue 1 \pages 3--76 \mathnet{http://mi.mathnet.ru/tmf2090} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=662029} \zmath{https://zbmath.org/?q=an:0488.53025} \transl \jour Theoret. and Math. Phys. \yr 1982 \vol 50 \issue 1 \pages 1--48 \crossref{https://doi.org/10.1007/BF01027603} \isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=A1982PG54200001} 

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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. V. I. Denisov, V. O. Soloviev, “The energy determined in general relativity on the basis of the traditional Hamiltonian approach does not have physical meaning”, Theoret. and Math. Phys., 56:2 (1983), 832–841
2. A. A. Logunov, A. A. Vlasov, “Minkowski space as a basis for a physical theory of gravitation”, Theoret. and Math. Phys., 60:1 (1984), 635–638
3. 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
4. A. A. Vlasov, A. A. Logunov, M. A. Mestvirishvili, “Theory of gravitation based on Minkowski space and the principle of geometrization”, Theoret. and Math. Phys., 61:3 (1984), 1167–1169
5. A. A. Logunov, M. A. Mestvirishvili, “Relativistic theory of gravitation”, Theoret. and Math. Phys., 61:3 (1984), 1170–1183
6. A. A. Logunov, M. A. Mestvirishvili, “Relativistic theory of gravitation and the graviton rest mass”, Theoret. and Math. Phys., 65:1 (1985), 971–979
7. V. I. Denisov, “Gravitational mechanism of suppression of matter density fluctuations in the early universe”, Theoret. and Math. Phys., 62:1 (1985), 42–51
8. 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
9. A. A. Logunov, Yu. M. Loskutov, Yu. V. Chugreev, “Does general relativity explain gravitational effects?”, Theoret. and Math. Phys., 69:3 (1986), 1179–1187
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