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A Space-Time Characterization of the Kerr-Newman Metric

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ANNALES HENRI POINCARE
卷 10, 期 3, 页码 453-484

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SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1007/s00023-009-0414-z

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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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