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

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.

References in corpus (2)

• Entropy Identity and Material-Independent Equilibrium Conditions in Relativistic Thermodynamics
• Symmetric energy-momentum tensor in Maxwell, Yang-Mills, and Proca theories obtained using only Noether's theorem

Cited by in corpus (3)

• Covariant Relativistic Non-Equilibrium Thermodynamics of Multi-Component Systems
• Exploitation of the Dissipation Inequality in General Relativistic Continuum Thermodynamics
• A modified Belinfante/Rosenfeld Procedure for Testing the Compatibility of General-Covariant Continuum Physics and General Relativity Theory