Einstein-Maxwell fields generated from the γ-metric and their limits

Abstract

Two solutions of the coupled Einstein-Maxwell field equations are found by means of the Horský-Mitskievitch generating conjecture. The vacuum limit of those obtained classes of spacetimes is the seed γ-metric and each of the generated solutions is connected with one Killing vector of the seed spacetime. Some of the limiting cases of our solutions are identified with already known metrics, the relations among various limits are illustrated through a limiting diagram. We also verify our calculation through the Ernst potentials. The existence of circular geodesics is briefly discussed in the Appendix.