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arXiv · 1304.3921

Mathisson-Papapetrou Equations as Conditions for Compatibility of General Relativity and Continuum Physics

Wolfgang Muschik·Horst-Heino v. Borzeszkowski
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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. 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. The procedure results in the Mathisson-Papapetrou equations.

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Wolfgang Muschik, Horst-Heino v. Borzeszkowski. 2013-04-14. Mathisson-Papapetrou Equations as Conditions for Compatibility of General Relativity and Continuum Physics. https://doi.org/10.1007/s10714-014-1677-3

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