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arXiv · 1407.4478

An extension of the Newman-Janis algorithm

Aidan J. Keane
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Abstract

The Newman-Janis algorithm is supplemented with a null rotation and applied to the tensors of the Reissner-Nordstr\"om 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-Nordstr\"om 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-Nordstr\"om spacetime with interesting consequences. The Schwarzschild to Kerr transformation is a special case.

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Aidan J. Keane. 2014-07-16. An extension of the Newman-Janis algorithm. https://doi.org/10.1088/0264-9381/31/15/155003

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