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The inertial mass defined in the general theory of relativity has no physical meaning
Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 163-170 Cet article a éte moissonné depuis la source Math-Net.Ru

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It is shown that the inertial mass introduced in the general theory of relativity depends on the choice of the three-dimensional coordinate system, so that it can take arbitrary values. This means that the inertial mass in Einstein's theory is devoid of any physical meaning. In addition, the expression for the inertial mass in Einstein's theory in the general case of an arbitrary three-dimensional coordinate system does not have a classical Newtonian limit, so that the general theory of relativity does not satisfy the principle of correspondence with Newton's theory. 
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V. I. Denisov; A. A. Logunov. The inertial mass defined in the general theory of relativity has no physical meaning. Teoretičeskaâ i matematičeskaâ fizika, Tome 51 (1982) no. 2, pp. 163-170. http://geodesic.mathdoc.fr/item/TMF_1982_51_2_a0/

[1] Einshtein A., Sobranie nauchnykh trudov, t. I, Nauka, M., 1965

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

[3] Tolman R. C., Phys. Rev., 35:7 (1930), 875–895 | DOI | Zbl

[4] Weyl H., Raum. Zeit. Materie, § 37, Springer-Verlag, Berlin, 1923 | MR | Zbl

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

[6] Meller K., Teoriya otnositelnosti, Atomizdat, M., 1975

[7] Mizner Ch., Torn K., Uiler Dzh., Gravitatsiya, t. 2, Mir, M., 1977 | MR

[8] Denisov V. I., Logunov A. A., TMF, 45:3 (1980), 291–301 | MR | Zbl

[9] Tolmen R., Otnositelnost, termodinamika i kosmologiya, § 91–92, Nauka, M., 1974 | MR

[10] Pauli V., Teoriya otnositelnosti, § 61, Gostekhizdat, M., 1947

[11] Veinberg S., Gravitatsiya i kosmologiya, Mir, M., 1975

[12] Meller Kh., Gravitatsiya i topologiya, Sb., Mir, M., 1966, 60–61