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Solutions of the Field Equations and Possible Meaning of the Hermitian Theory of Relativity
Authors:S Antoci
Abstract:A procedure is stated, which allows to build solutions of the Hermitian theory of relativity from known solutions of the general theory of relativity. Solutions depending on three co-ordinates, built from Minkowski metric, as well as Hermitian generalizations of the Weyl-Levi Civita solution are shown. They suggest that the imaginary part of the fundamental tensor equation image may encompass fields of different physical behaviour, like the electromagnetic field and a field responsible for forces which do not depend on the distance between charges which cannot exist as individuals. In the generalizations of the Weyl-Levi Civita solution these fields appear to be decoupled from gravitation in a peculiar way.
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