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 TMF, 1977, Volume 32, Number 2, Pages 167–175 (Mi tmf3147)

Energy-momentum of gravitational waves in the general theory of relativity

A. A. Logunov, V. N. Folomeshkin

Abstract: It is shown that if we follow closely the method of calculating the “flux of energy” of gravitational waves, suggested by Einstein and use only the generally covariant Lagrangian density $\sqrt{-g}R$, then we get the value of the “flux of energy” of gravitational waves equal to zero. Thus the way which was chosen by Einstein and which leads to introducing the noncovariant “pseudotensors” into the covariant physical theory, leads also to the zero value of the “energy” in general relativity theory.

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English version:
Theoretical and Mathematical Physics, 1977, 32:2, 667–672

Bibliographic databases:

Citation: A. A. Logunov, V. N. Folomeshkin, “Energy-momentum of gravitational waves in the general theory of relativity”, TMF, 32:2 (1977), 167–175; Theoret. and Math. Phys., 32:2 (1977), 667–672

Citation in format AMSBIB
\Bibitem{LogFol77} \by A.~A.~Logunov, V.~N.~Folomeshkin \paper Energy-momentum of gravitational waves in the general theory of relativity \jour TMF \yr 1977 \vol 32 \issue 2 \pages 167--175 \mathnet{http://mi.mathnet.ru/tmf3147} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=523901} \zmath{https://zbmath.org/?q=an:0397.49033} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 32 \issue 2 \pages 667--672 \crossref{https://doi.org/10.1007/BF01036329} 

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Citing articles on Google Scholar: Russian citations, English citations
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This publication is cited in the following articles:
1. G. S. Asanov, “Integrable covariant energy-momentum conservation law for the gravitational field with absolute parallelism structure”, Theoret. and Math. Phys., 39:1 (1979), 331–335
2. A. A. Logunov, V. I. Denisov, A. A. Vlasov, M. A. Mestvirishvili, V. N. Folomeshkin, “New concepts of space-time and gravitation”, Theoret. and Math. Phys., 40:3 (1979), 753–777
3. A. A. Vlasov, V. I. Denisov, A. A. Logunov, M. A. Mestvirishvili, “Gravitational effects in the field theory of gravitation”, Theoret. and Math. Phys., 43:2 (1980), 375–401
4. V. I. Denisov, A. A. Logunov, “New theory of space-time and gravitation”, Theoret. and Math. Phys., 50:1 (1982), 1–48
5. 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
6. Lompay R.R. Petrov A.N., “Covariant Differential Identities and Conservation Laws in Metric-Torsion Theories of Gravitation. I. General Consideration”, J. Math. Phys., 54:6 (2013), 062504
7. V. I. Denisov, “Development of the concept of natural geometry for physical interactions”, Theoret. and Math. Phys., 191:2 (2017), 649–654
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