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On the necessity for accounting for the potential energy of systems of masses. (English. Russian original) Zbl 1040.83516

J. Appl. Math. Mech. 60, No. 6, 891-897 (1996); translation from Prikl. Mat. Mekh. 60, No. 6, 909-916 (1996).
Summary: A gravitation theory is constructed taking the thermodynamic and potential energy into account and also the phenomenon of weightlessness, using the presence of a potential energy, which is additionally justified theoretically and experimentally. A theory of the motion of gravitating masses in the special theory of relativity is proposed for absolute and relative motion using proper times for the individual masses. This theory touches directly on Newtonian theory, but differs from it and from the general theory of relativity (in particular, when the rotation of the masses and also weightlessness are taken into account). A gravitation theory that is covariant in the Fermi variables and invariant under Lorentz transformations is constructed.

MSC:

83D05 Relativistic gravitational theories other than Einstein’s, including asymmetric field theories
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References:

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