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Keech, T. D. and J. F. Corum.

Text: "A new derivation for the field of a time-varying charge in Einstein's theory." An exact solution of the general relativity field equations for a time-varying charged source permits a radial or longitudinal wave of energy. The classical Poynting vector predicts no such energy flow. The vector and scalar potentials are part of any covariant formulation of electrodynamics, but have consistently been omitted from the energy flow vector as a historical oversight in electromagnetic theory. International Journal of Theoretical Physics. 20(1), 1981. p. 63-68.

See Also: General relativity, longitudinal waves, scalar electromagnetics, electromagnetic theory, foundations of physics.

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