GEOMETRIC FOUNDATION FOR MONOPOLES

It is shown that in a space-time with vector and axial-vector torsion, the field equations for torsion are equivalent to those of electromagnetism with magnetic monopoles. It is also shown that in the limit that only one kind of charge exists, then the equation of motion is given by the usual Lorentz form, and the entire theory reduces to exactly that of the Einstein-Maxwell theory of electro-magnetism and gravitation. However, for the more general case with two kinds of charge it is shown that the different charges do not interact. Finally, an exact Reissner-Nordstrom-type solution to the field equations is presented.