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.

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

References in corpus (5)

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

Cited by in corpus (11)

• Stationary Black Holes: Uniqueness and Beyond
• Schwarzschild and Kerr Solutions of Einstein's Field Equation -- an introduction
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• A local characterisation for static charged black holes
• Killing spinors as a characterisation of rotating black hole spacetimes
• Non-existence of multiple-black-hole solutions close to Kerr-Newman
• An alternative to the Simon tensor
• Uniqueness of Kerr-Newman-de Sitter black holes with small angular momenta
• A geometric invariant characterising initial data for the Kerr-Newman spacetime
• A spacetime characterization of the Kerr-NUT-(A)de Sitter and related metrics
• On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family