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Keane, Aidan J
Classical and quantum gravity, 08/2014, Letnik: 31, Številka: 15Journal Article
The Newman-Janis algorithm is supplemented with a null rotation and applied to the tensors of the Reissner-Nordström spacetime to generate the metric, Maxwell, Ricci and Weyl tensors for the Kerr-Newman spacetime. This procedure also provides a mechanism whereby the Carter Killing tensor arises from the geodesic angular momentum tensor of the underlying Reissner-Nordström metric. The conformal Killing tensor in the Kerr-Newman spacetime is generated in a similar fashion. The extended algorithm is also applied to the Killing vectors of the Reissner-Nordström spacetime with interesting consequences. The Schwarzschild to Kerr transformation is a special case.
