Generating odd-dimensional rotating black holes with equal angular momenta by using the Kerr-Schild Cartesian form of metric
arXiv:2003.08311 · doi:10.1016/j.aop.2020.168123
Abstract
The Newman-Janis (NJ) method is a prescription to derive the Kerr space-time from the Schwarzschild metric. The BTZ, Kerr and five-dimensional Myers-Perry (MP) black hole solutions have already been generated by different versions of the NJ method. However, it is not known how to generate the metric of higher-dimensional (d > 6) rotating black holes by this method. In this paper, we propose the simplest algorithm for generation of the five-dimensional MP metric with two arbitrary angular momenta by using the Kerr-Schild form of the metric and quaternions. Then, we present another new two-step version of the NJ approach without using quaternions that generate the five-dimensional MP metric with equal angular momenta. Finally, the extension of the later procedure is explained for the higher odd-dimensional rotating black holes (d > 5) with equal angular momenta.
arXiv comment9 pages
References in corpus (10)
- The Black Hole in Three Dimensional Space Time
- Geometry of the 2+1 Black Hole
- The General Kerr-de Sitter Metrics in All Dimensions
- Janis-Newman algorithm: generating rotating and NUT charged black holes
- Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
- Deciphering and generalizing Demianski-Janis-Newman algorithm
- Supergravity, complex parameters and the Janis-Newman algorithm
- Generating five-dimensional Myers-Perry black hole solution using quaternions
- Electromagnetic self-force in curved spacetime: New insights from the Janis-Newman algorithm
- Electromagnetic self-force in the five dimensional Myers-Perry space time