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.

(current version) 29 pages. Incorporated changes suggested by the anonymous referee. Resubmitted to Annales Henri Poincare

References in corpus (3)

• On the uniqueness of smooth, stationary black holes in vacuum
• Uniqueness results for ill posed characteristic problems in curved space-times
• On the discovery of Birkhoff's theorem

Cited by in corpus (4)

• Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
• A set of invariant quality factors measuring the deviation from the Kerr metric
• A local characterisation for static charged black holes
• On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family