Supergravity, complex parameters and the Janis-Newman algorithm

Abstract

The Demiański-Janis-Newman algorithm is an original solution generating technique. For a long time it has been limited to producing rotating solutions, restricting to the case of a metric and real scalar fields, despite the fact that Demiański extended it to include more parameters such as a NUT charge. Recently two independent prescriptions have been given for extending the algorithm to gauge fields and thus electrically charged configurations. In this paper we aim to end setting up the algorithm by providing a missing but important piece, which is how the transformation is applied to complex scalar fields. We illustrate our proposal through several examples taken from N=2 supergravity, including the stationary BPS solutions from Behrndt et al. and Sen's axion-dilaton rotating black hole. Moreover we discuss solutions that include pairs of complex parameters, such as the mass and the NUT charge, or the electric and magnetic charges, and we explain how to perform the algorithm in this context (with the example of Kerr-Newman-Taub-NUT and dyonic Kerr-Newman black holes). The final formulation of the DJN algorithm can possibly handle solutions with five of the six Plebański-Demiański parameters along with any type of bosonic fields with spin less than two (exemplified with the SWIP solutions). This provides all the necessary tools for applications to general matter-coupled gravity and to (gauged) supergravity.

18 pages

References in corpus (6)

• Black holes in N=8 supergravity from SO(4,4) hidden symmetries
• BPS black holes in N=2 D=4 gauged supergravities
• Janis-Newman algorithm: simplifications and gauge field transformation
• The Kerr-Newman metric: A Review
• An extension of the Newman-Janis algorithm
• Deciphering and generalizing Demianski-Janis-Newman algorithm

Cited by in corpus (13)

• The Double Copy of Electric-Magnetic Duality
• Janis-Newman algorithm: generating rotating and NUT charged black holes
• Kerr/CFT Correspondence on Kerr-Newman-NUT-Quintessence Black Hole
• Deciphering and generalizing Demianski-Janis-Newman algorithm
• Cartesian Kerr-Schild variation on the Newman-Janis ansatz
• Rotating five-dimensional electrically charged Bardeen regular black holes
• Generalized Lense--Thirring metrics: higher-curvature corrections and solutions with matter
• Quarter-BPS Black Holes in AdS${}_4$-NUT from $N=2$ Gauged Supergravity
• Generating rotating black hole solutions by using the Cayley-Dickson construction
• Electromagnetic self-force in curved spacetime: New insights from the Janis-Newman algorithm
• Electromagnetic self-force in the five dimensional Myers-Perry space time
• Generating odd-dimensional rotating black holes with equal angular momenta by using the Kerr-Schild Cartesian form of metric
• Newman-Janis Algorithm from Taub-NUT Instantons