Transposition-invariant equations for the unified field theory
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We discuss, within the framework provided by a recently developed variational method, transposition-invariant field equations for unified field theories. Systems that are, in addition, invariant under Weyl-type gauge transformations or lambda transformations are derived. It is found that in a weak field limit two of the systems contain the equations of general relativity and the covariant Maxwell equations for a charge-free region.
KeywordsField Theory General Relativity Variational Method Field Equation Gauge Transformation
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