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Generating five-dimensional Myers-Perry black hole solution using quaternions

arXiv:1708.08969 · doi:10.1016/j.aop.2017.12.005

Abstract

The Newman-Janis and Giampieri algorithms are two simple methods to generate stationary rotating black hole solutions in four dimensions. In this paper, we obtain the Mayers-Perry black hole from the Schwartzchild solution in five dimensions using quaternions. Our method generates the Mayers-Perry black hole solution with two angular momenta in one fell swoop.

6 pages