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

TL;DR

This paper introduces a quaternion-based method to efficiently generate the five-dimensional Myers-Perry black hole solution with two angular momenta from the Schwarzschild solution.

Contribution

It presents a novel quaternionic approach to derive higher-dimensional rotating black hole solutions in a single step.

Findings

Successfully derived the five-dimensional Myers-Perry black hole with two angular momenta

Demonstrated the effectiveness of quaternions in generating complex black hole solutions

Simplified the process of obtaining higher-dimensional rotating black holes

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.