论文标题
使用Cayley-Dickson Construction生成旋转的黑洞解决方案
Generating rotating black hole solutions by using the Cayley-Dickson construction
论文作者
论文摘要
本文利用了Cayley-Dickson代数的力量，以产生一个静止的黑洞解决方案。具体而言，我们通过使用Janis-Newman算法和Giampieri的简化方法，通过四个独立的角动量得出了九维迈尔斯 - 植物溶液，从而利用了Octonion代数。将Cayley-Dickson代数的维度与每个维度中最大的角动量数量相关的一般公式。最后，我们讨论了使用Cayley-Dickson Construction以及Janis-Newman算法生产旋转解决方案的截止维度。
This paper exploits the power of the Cayley-Dickson algebra to generate stationary rotating black hole solutions in one fell swoop. Specifically, we derive the nine-dimensional Myers-Perry solution with four independent angular momenta by using the Janis-Newman algorithm and Giampieri's simplification method, exploiting the octonion algebra. A general formula relating the dimension of the Cayley-Dickson algebra with the maximum number of angular momenta in each dimension is derived. Finally, we discuss the cut-off dimension for using the Cayley-Dickson construction along with the Janis-Newman algorithm for producing the rotating solutions.
