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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 1982 Volume 51, Number 2, Pages 163–170 (Mi tmf2404)

This article is cited in 12 papers

The inertial mass defined in the general theory of relativity has no physical meaning

V. I. Denisov, A. A. Logunov


Abstract: 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.

Received: 29.05.1981


 English version:
Theoretical and Mathematical Physics, 1982, 51:2, 421–426

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© Steklov Math. Inst. of RAS, 2025