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 TMF, 1977, Volume 33, Number 2, Pages 174–184 (Mi tmf3281)

Does the energy of the source change when gravitational waves are emitted in Einstein's theory of gravitation?

A. A. Logunov, V. N. Folomeshkin

Abstract: It is shown that the total “energy” and total flux of “energy” of plane gravitational wave evaluated by means of any pseudotensor are equal to zero. The well-known (14) result by Einstein that the source energy decreases in the radiation of weak plane gravitational waves does not take place in Einstein's theory of gravitation. The examples of exact wave solutions with pseudotensor equal identically to zero are given in Einstein's theory of gravitation. The energy-momentum of any weak gravitational wave is equal to zero. When such waves are radiated, the source energy cannot change although the waves are the real waves of curvature. Thus, in the essence, in Einstein's theory of gravitation the production of energy out of pure nothing takes place.

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English version:
Theoretical and Mathematical Physics, 1977, 33:2, 952–959

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Citation: A. A. Logunov, V. N. Folomeshkin, “Does the energy of the source change when gravitational waves are emitted in Einstein's theory of gravitation?”, TMF, 33:2 (1977), 174–184; Theoret. and Math. Phys., 33:2 (1977), 952–959

Citation in format AMSBIB
\Bibitem{LogFol77} \by A.~A.~Logunov, V.~N.~Folomeshkin \paper Does the energy of the source change when gravitational waves are emitted in Einstein's theory of gravitation? \jour TMF \yr 1977 \vol 33 \issue 2 \pages 174--184 \mathnet{http://mi.mathnet.ru/tmf3281} \zmath{https://zbmath.org/?q=an:0368.53019} \transl \jour Theoret. and Math. Phys. \yr 1977 \vol 33 \issue 2 \pages 952--959 \crossref{https://doi.org/10.1007/BF01036593} 

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This publication is cited in the following articles:
1. A. A. Vlasov, V. N. Folomeshkin, “On the energy of gravitational waves in Einstein's theory of gravitation”, Theoret. and Math. Phys., 38:2 (1979), 99–102
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. 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
4. 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
5. A. A. Vlasov, V. I. Denisov, “Einstein's formula for gravitational radiation is not a consequence of the general theory of relativity”, Theoret. and Math. Phys., 53:3 (1982), 1208–1216
6. V. I. Denisov, A. A. Logunov, “New theory of space-time and gravitation”, Theoret. and Math. Phys., 50:1 (1982), 1–48
7. 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
8. V. I. Denisov, A. A. Logunov, “Further remarks on the inequlity of the inertial and gravitational masses in general relativity”, Theoret. and Math. Phys., 85:1 (1990), 1022–1028
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