Abstract

The energy-momentum tensor Tαβ of the general theory of relativity is investigated on the basis of a kinetic model of matter (point-particles). Its freedom of divergence results from the motion of the particles. After a suitable decomposition of Tαβ into its invariant components these can be interpreted in a generally covariant manner according to their microstructure. By means of the distribution of matter special time-like world-lines are designated as stream-lines. The freedom of divergence of Tαβ can be interpreted by virtue of the model as a local balance of energy and momentum. In this balance the influence of gravitational and inertial forces become immediately evident. Pressure results as a function of the particle properties (state equation).

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