An extension of the Newman-Janis algorithm

Abstract

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.

References in corpus (3)

• An explanation of the Newman-Janis Algorithm
• Constructive proof of the Kerr-Newman black hole uniqueness including the extreme case
• Untangling the Newman-Janis algorithm

Cited by in corpus (14)

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• The Kerr-Newman metric: A Review
• Rotating and non-linear magnetic-charged black hole surrounded by quintessence
• Deciphering and generalizing Demianski-Janis-Newman algorithm
• Cartesian Kerr-Schild variation on the Newman-Janis ansatz
• Five-dimensional Janis-Newman algorithm
• Supergravity, complex parameters and the Janis-Newman algorithm
• Physically motivated ansatz for the Kerr spacetime
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• Self-Gravitating Matter in Stationary and Axisymmetric Black Hole Spacetimes
• Newman-Janis Algorithm from Taub-NUT Instantons