Physics
Scientific paper
Apr 1986
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986gregr..18..333t&link_type=abstract
General Relativity and Gravitation (ISSN 0001-7701), vol. 18, April 1986, p. 333-348.
Physics
2
Fokker-Planck Equation, Gravitation Theory, Gravitational Waves, Particle Interactions, Particle Motion, Einstein Equations, Electrodynamics, Equations Of Motion, Many Body Problem, Riemann Manifold, Space-Time Functions
Scientific paper
An attempt is made to develop a theory of direct gravitational interaction of an arbitrary order, i.e., a many-particle interaction. The situation considered is that of a moving particle in a fixed Riemannian space-time which interacts with a system characterized by a definite energy momentum tensor. A linear formulation of the Fokker type action is used to define particle equations of motion in a geodesic form in a metric of arbitrary order. A proof is developed to show that the resulting metric satisfies the Einstein equations and is commensurate with the Lorentz gauge in Wheeler-Feynman electrodynamics. When applied to many-particle interactions, the absorber theory of gravitational radiation that has been defined is effective only for a linear approximation solution to the Einstein equation, and will require further work to serve as a general absorber theory.
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