Center of mass and far field metric in relativistic magnetohydrodynamics

Physics

Scientific paper

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Center Of Mass, Far Fields, Magnetohydrodynamic Flow, Metric Space, Relativistic Plasmas, Conducting Fluids, Equations Of Motion, Relativity, Tensors

Scientific paper

The uniform motion of the center of mass of a charged conducting fluid in the presence of an electromagnetic field is derived in the first post-Newtonian approximation of general relativity. Also the source's far-field metric tensor is determined and expressed in terms of parameters known as three-dimensional volume integrals over its interior. These results permit the physical identification, to post-Newtonian accuracy, of the integration constants and the coordinate systems involved in Schwarzschild and Kerr metric tensors.

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