Mathematics
Scientific paper
Apr 1985
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985apj...291..422n&link_type=abstract
Astrophysical Journal, Part 1 (ISSN 0004-637X), vol. 291, April 15, 1985, p. 422-446.
Mathematics
9
Equations Of Motion, Gravitation Theory, Particle Motion, Particle Spin, Relativity, Electromagnetism, Gravitational Waves, Momentum, Stress Tensors, Transformations (Mathematics), Weak Interactions (Field Theory)
Scientific paper
Papapetrou's equations of motion of a spinning particle in general relativity are extended to the case of a nonsymmetric stress-energy tensor in order to include the test particle's self-gravity. There are derivations of the spin tensor and the momentum tensor and their equations of motion, including gravitational radiation reaction. There is a treatment of a test particle with self-gravity, charge, and electromagnetic moment. The dynamical role of the test particle's self-gravity is illustrated in the weak-field approximation. The principal conclusion is that the test particle's Newtonian gravitational potential energy contributes to the test particle's inertial mass (under electromagnetic forces) in the same way as do other forms of mass-energy (rest mass, internal energy, and kinetic energy).
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