Light deflection in the Kaluza−Klein theory in the presence of a vector potential

General expressions – tests for studying light deflection by a massive body, including the classical test of the general relativity theory – are derived based on the reactive and electromagnetic vector potentials in the generalized Gross–Perry and Kerr metrics within the framework of gravitational Kaluza–Klein theory. It is demonstrated that neglect of the electromagnetic potential in the Gross–Perry metric in the presence of the reactive potential results in a change of the light deflection angle small in comparison with the classical test; in the Kerr metric, the effect of massive body rotation, parameters of magnetic monopole, and dark energy are taken into account in addition to the vector potential.