Exotic Behaviors of Space-time in Einstein-Maxwell Theory

Abstract: This paper examines the structure of electric fields and space-times created by extended finite distributions of irrotational static and spherically-symmetric charge. The resulting electric fields are found to source features in space-time commonly associated with the presence of fields with locally positive and negative mass densities, with the sign of the mass corresponding to the sign of the electric field gradient. The conditions detailing these behaviors are discussed. The effects of these structures on trajectories of time-like geodesics and the volume form are also presented.