A modified Belinfante/Rosenfeld procedure for testing the compatibility of general-covariant continuum physics and general relativity theory

Wolfgang Muschik

Abstract


Creating a modified Belinfante/Rosenfeld procedure, Mathisson-Papapetrou-like equations are derived by which a comparison of General-Covariant Continuum Physics (GCCP) with General Relativity Theory (GRT) becomes possible. Three cases emerge: If the energy-momentum tensor of GCCP is symmetric and divergence-free, it serves as source of Einstein's equation; if the energy-momentum tensor is non-symmetric or/and not divergence-free, GRT and GCCP are incompatible with each other, if the Mathisson-Papapetrou-like equations are not valid; if they are valid, a source of Einstein's equation can be generated which is different from the energy-momentum tensor of GCCP.

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DOI: https://doi.org/10.1478/AAPP.1011A5

Copyright (c) 2023 Wolfgang Muschik

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