Deciphering and generalizing Demianski-Janis-Newman algorithm

Abstract

In the case of vanishing cosmological constant, Demiański has shown that the Janis-Newman algorithm can be generalized in order to include a NUT charge and another parameter $c$, in addition to the angular momentum. Moreover it was proved that only a NUT charge can be added for non-vanishing cosmological constant. However despite the fact that the form of the coordinate transformations was obtained, it was not explained how to perform the complexification on the metric function, and the procedure does not follow directly from the usual Janis-Newman rules. The goal of our paper is threefold: explain the hidden assumptions of Demiański's analysis, generalize the computations to topological horizons (spherical and hyperbolic) and to charged solutions, and explain how to perform the complexification of the function. In particular we present a new solution which is an extension of the Demiański metric to hyperbolic horizons. These different results open the door to applications in (gauged) supergravity since they allow for a systematic application of the Demiański-Janis-Newman algorithm.

14 pp. (+ 4 app.); v2: modifications to improve clarity, match published version, available at Springer via http://dx.doi.org/10.1007/s10714-016-2054-1

References in corpus (8)

• Generating rotating regular black hole solutions without complexification
• From static to rotating to conformal static solutions: Rotating imperfect fluid wormholes with(out) electric or magnetic field
• Thermodynamic Volumes for AdS-Taub-NUT and AdS-Taub-Bolt
• Janis-Newman algorithm: simplifications and gauge field transformation
• An extension of the Newman-Janis algorithm
• The Geroch group in Einstein spaces
• Five-dimensional Janis-Newman algorithm
• Supergravity, complex parameters and the Janis-Newman algorithm

Cited by in corpus (12)

• The Double Copy of Electric-Magnetic Duality
• Kerr-Newman-NUT-Kiselev black holes in Rastall theory of gravity and Kerr/CFT Correspondence
• Rotating dirty black hole and its shadow
• Kerr/CFT Correspondence on Kerr-Newman-NUT-Quintessence Black Hole
• Rotating metric in Non-Singular Infinite Derivative Theories of Gravity
• Cartesian Kerr-Schild variation on the Newman-Janis ansatz
• Five-dimensional Janis-Newman algorithm
• Supergravity, complex parameters and the Janis-Newman algorithm
• Rotating and twisting charged black holes with cloud of strings and quintessence
• Metric for Rotating object in Infrared Corrected Nonlocal Gravity Model
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• Generating odd-dimensional rotating black holes with equal angular momenta by using the Kerr-Schild Cartesian form of metric