Geodesic
On the energy of gravitational waves in Einstein's theory of gravitation
Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 147-152

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Examples of exact wave solutions of Einstein's equations show that the standard, generally adopted formulation of the energy-momentum problem using pseudotensors gives either the value zero or a value of variable sign for the energy of gravitational waves. It is shown that if in Einstein's theory one goes rigorously to the weak-field limit the theory gives an unambiguous null result for weak gravitational waves. The well-known non-null result is due to an incorrect transition to the weak-field approximation in Einstein's theory. 
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     author = {A. A. Vlasov and V. N. Folomeshkin},
     title = {On the energy of gravitational waves in {Einstein's} theory of gravitation},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {147--152},
     publisher = {mathdoc},
     volume = {38},
     number = {2},
     year = {1979},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a0/}
}
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A. A. Vlasov; V. N. Folomeshkin. On the energy of gravitational waves in Einstein's theory of gravitation. Teoretičeskaâ i matematičeskaâ fizika, Tome 38 (1979) no. 2, pp. 147-152. http://geodesic.mathdoc.fr/item/TMF_1979_38_2_a0/