Geodesic
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 
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/
@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},
     year = {1982},
     volume = {53},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a7/}
}
TY  - JOUR
AU  - A. A. Vlasov
AU  - V. I. Denisov
TI  - Einstein's formula for gravitational radiation is not a consequence of the general theory of relativity
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1982
SP  - 406
EP  - 418
VL  - 53
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a7/
LA  - ru
ID  - TMF_1982_53_3_a7
ER  - 
%0 Journal Article
%A A. A. Vlasov
%A V. I. Denisov
%T Einstein's formula for gravitational radiation is not a consequence of the general theory of relativity
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1982
%P 406-418
%V 53
%N 3
%U http://geodesic.mathdoc.fr/item/TMF_1982_53_3_a7/
%G ru
%F TMF_1982_53_3_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

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.

[1] Denisov V. I., Logunov A. A., TMF, 43:2 (1980), 187–201 | MR | Zbl

[2] Denisov V. I., Logunov A. A., Mestvirishvili M. A., EChAYa, 12:1 (1981), 5–99 | MR | Zbl

[3] Denisov V. I., Logunov A. A., Novaya teoriya prostranstva-vremeni i gravitatsii, Preprint P-0199, IYaI AN SSSR, M., 1981 | MR

[4] Einshtein A., Sobranie nauchnykh trudov, t. 1, Nauka, M., 1965, 699 pp.

[5] Eddington A. S., Teoriya otnositelnosti, § 57, Gostekhizdat, M., 1934

[6] Tolmen R., Otnositelnost, termodinamika i kosmologiya, Nauka, M., 1974, 520 pp. | MR

[7] Meller K., Teoriya otnositelnosti, Atomizdat, M., 1975, 399 pp.

[8] Landau L. D., Lifshits E. M., Teoriya polya, Nauka, M., 1973, 504 pp. | MR

[9] Denisov V. I., Logunov A. A., Inertnaya massa, opredelennaya v OTO, ne imeet fizicheskogo smysla, Preprint P-0214, IYaI AN SSSR, M., 1981

[10] Logunov A. A., Folomeshkin V. N., TMF, 33:2 (1977), 174–184 | MR | Zbl