On the mechanics of a mass point in the general theory of relativity

An investigation is made into the equations of motion for mass points of comparable masses, the energy-momentum tensor of which is a linear function of the-function, in connection with the principle of equivalence. If some conditions are fulfilled the equations of motion for mass points subject to a supplementary non-gravitational force effect can be transformed to equations of motion for free motion of mass points in a certain equivalent gravitional field. The equivalent field, in agreement with the local validity of the principle of equivalence, is defined merely along the trajectories of the mass points. , - -, . , , , . , , .

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