In generalized riemannian geometry, role of non‐symmetric tensor as electromagnetic force in the unified field theory

Our aim is to get electromagnetic force in generalized Riemannian geometry similar to Maxwell electromagnetic force . For this non-symmetric metric    is transformed by Levi Civita transformation. Transformed   is a pseudo tenser of weight one, but the force obtained is different from Maxwell tensor force . Second transformation was done from   to   by taking dual of . We observe that now the force is similar to that of Maxwell force with a difference that of values. Thus a new Maxwell equation was obtained in generalized Riemannian geometry.  Using Lorentz force we get the equation of motion of a charge particle in generalized Riemannian geometry which contains the term   representing the force.