A space-time characterization of the Kerr-Newman metric

Details A space-time characterization of the Kerr-Newman metric A space-time characterization of the Kerr-Newman metric

2008-07-11

arxiv.org/abs/0807.1904v4

Annales Henri Poincare 10:453-484,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1007/s00023-009-0414-z

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.

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