A Space-Time Characterization of the Kerr–Newman Metric

Abstract

In the present paper, the characterization of the Kerr metric found by Marc Mars is extended to the Kerr–Newman family. A simultaneous alignment of the Maxwell field, the Ernst two-form of the pseudo-stationary Killing vector field, and the Weyl curvature of the metric is shown to imply that the space-time is locally isometric to domains in the Kerr–Newman metric. The paper also presents an extension of Ionescu and Klainerman’s null tetrad formalism to explicitly include Ricci curvature terms.