Abstract
In continuum physics is presupposed that general-relativistic balance equations are valid which are created from the Lorentz-covariant ones by application of the equivalence principle. Consequently, the question arises, how to make these general-covariant balances compatible with Einstein’s field equations, if no Lagrangian is available. The compatibility conditions are derived by performing a modified Belinfante–Rosenfeld symmetrization for the non-symmetric and not divergence-free general-relativistic energy-momentum tensor of continuum physics. The procedure results in the Mathisson–Papapetrou equations.
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