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arXiv · 2003.08311

Generating odd-dimensional rotating black holes with equal angular momenta by using the Kerr-Schild Cartesian form of metric

Masoumeh Tavakoli·Behrouz Mirza
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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.

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Masoumeh Tavakoli, Behrouz Mirza. 2020-03-18. Generating odd-dimensional rotating black holes with equal angular momenta by using the Kerr-Schild Cartesian form of metric. https://doi.org/10.1016/j.aop.2020.168123

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