Authors: Ilija Barukčić
In the Einstein field equations the geometry or the curvature of space-time defined as depended on the distribution of mass and energy principally resides on the left-hand side is set identical to a nongeometrical tensorial representation of matter on the right-hand side. In one or another form, general relativity accords a direct geometrical significance only to the gravitational field while the other physical fields are not of spacetime, they reside only in spacetime. Less well known, though of comparable importance is Einstein's dissatisfaction with the fundamental asymmetry between gravitational and non-gravitational fields and his contributions to develop a completely relativistic geometrical field theory of all fundamental interactions, a unified field theory. Of special note in this context and equally significant is Einstein’s demand to replace the symmetrical tensor field by a non-symmetrical one and to drop the condition gik = gki for the field components. Historically, many other attempts were made too, to extend the general theory of relativity's geometrization of gravitation to non-gravitational interactions, in particular, to electromagnetism. Still, progress has been very slow. It is the purpose of this publication to provide a unified field theory in which the gravitational field, the electromagnetic field and other fields are only different components or manifestations of the same unified field by mathematizing the relationship between cause and effect under conditions of general theory of relativity.
Comments: 77 Pages. Copyright © 2016 by Ilija Barukčić, Jever, Germany. PUBLISHED BY: Journal of Applied Mathematics and Physics, 2016, 4, 1379-1438. http://dx.doi.org/10.4236/jamp.2016.48147.
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