Five-dimensional Janis–Newman algorithm
Five-dimensional Janis–Newman algorithm
复制标题
五维Janis-Newman算法
DOI：
10.1088/0264-9381/32/16/165004
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发表时间：
2014
影响因子：
3.5
通讯作者：
L. Heurtier
中科院分区：
文献类型：
--
作者：
Harold Erbin;L. Heurtier
Janis-Newman算法在寻找四维重力的新固定解方面已被证明是成功的。对于只有一个角动量的限制情况，已经找到了将其推广到高维的尝试。在本文中，我们通过两个具体的例子，即Myers-Perry和BMPV黑洞，利用giampieri的处方，将该算法推广到具有两个角动量的五维空间。我们还讨论了将我们的处方扩大到其他维度和最大角动量数的可能性，并展示了如何在这个框架内处理高于6的维度似乎更具挑战性。尽管如此，这个通用算法提供了d = 3,4,5 ？>的Janis-Newman算法，从中暴露了几个例子，包括BTZ黑洞。
The Janis–Newman algorithm has been shown to be successful in finding new stationary solutions of four-dimensional gravity. Attempts for a generalization to higher dimensions have already been found for the restricted cases with only one angular momentum. In this paper we propose an extension of this algorithm to five-dimensions with two angular momenta—using the prescription of Giampieri—through two specific examples, that are the Myers–Perry and BMPV black holes. We also discuss possible enlargements of our prescriptions to other dimensions and maximal number of angular momenta, and show how dimensions higher than six appear to be much more challenging to treat within this framework. Nonetheless this general algorithm provides a unification of the formulation in d = 3 , 4 , 5 ?> of the Janis–Newman algorithm, from which several examples are exposed, including the BTZ black hole.