Einstein's formula for gravitational radiation is not a~consequence of the general theory of relativity
Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 406-418
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It is shown that the intensity of gravitational radiation and the total intensity determined in the general theory of relativity in accordance with Einstein's formulas depend on the choice of the coordinate system, so that they can be made to vanish or even become negative. Therefore, Einstein's well-known quadrnpole formula, which is usually employed in general relativity for calculations, is not a consequence of general relativity and is not contained in it. This result is a particular consequence of the general assertion to the effect that in general relativity there are no energy-momentum conservation laws for a system consisting of matter and the gravitational field.
@article{TMF_1982_53_3_a7,
author = {A. A. Vlasov and V. I. Denisov},
title = {Einstein's formula for gravitational radiation is not a~consequence of the general theory of relativity},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {406--418},
publisher = {mathdoc},
volume = {53},
number = {3},
year = {1982},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a7/}
}
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A. A. Vlasov; V. I. Denisov. Einstein's formula for gravitational radiation is not a~consequence of the general theory of relativity. Teoretičeskaâ i matematičeskaâ fizika, Tome 53 (1982) no. 3, pp. 406-418. http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a7/