Supergravity, complex parameters and the Janis–Newman algorithm
Supergravity, complex parameters and the Janis–Newman algorithm
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超重力、复杂参数和 Janis-Newman 算法
DOI：
10.1088/0264-9381/32/16/165005
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发表时间：
2015
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
Demiavski-Janis-纽曼（DJN）算法是一种新颖的解生成技术。很长一段时间以来，它一直局限于生产旋转的解决方案，仅限于一个度量和真实的标量场的情况下，尽管事实上，Demiavski扩展它包括更多的参数，如NUT收费。最近，两个独立的处方已被扩展的算法，以规范领域，从而带电配置。在本文中，我们的目标是通过提供一个缺失但重要的部分来结束建立算法，这就是如何将变换应用于复标量场。我们通过几个N = 2超引力的例子来说明我们的建议，包括Behrndt等人的定常BPS解和Sen的轴子旋转黑洞解。此外，我们讨论的解决方案，包括对复杂的参数，如质量和NUT的电荷，或电和磁的电荷，我们解释如何执行在这种情况下的算法（与Kerr-Newman-Taub-NUT和双音Kerr-Newman黑洞的例子）。DJN算法的最终公式可能处理六个Plebausski-Demiausski-parameters中的五个的解，沿着自旋小于2的任何类型的玻色子场（以静止的Israel-Wilson-Perjes解为例）。这为一般物质耦合引力和（计量）超引力的应用提供了所有必要的工具。
The Demiański–Janis–Newman (DJN) algorithm is an original solution generating technique. For a long time it has been limited to producing rotating solutions, restricted to the case of a metric and real scalar fields, despite the fact that Demiański extended it to include more parameters such as a NUT charge. Recently two independent prescriptions have been given for extending the algorithm to gauge fields and thus electrically charged configurations. In this paper we aim to end setting up the algorithm by providing a missing but important piece, which is how the transformation is applied to complex scalar fields. We illustrate our proposal through several examples taken from N = 2 supergravity, including the stationary BPS solutions from Behrndt et al and Senʼs axion–dilaton rotating black hole. Moreover we discuss solutions that include pairs of complex parameters, such as the mass and the NUT charge, or the electric and magnetic charges, and we explain how to perform the algorithm in this context (with the example of Kerr–Newman–Taub–NUT and dyonic Kerr–Newman black holes). The final formulation of the DJN algorithm can possibly handle solutions with five of the six Plebański–Demiański parameters along with any type of bosonic fields with spin less than two (exemplified with the stationary Israel–Wilson–Perjes solutions). This provides all the necessary tools for applications to general matter-coupled gravity and to (gauged) supergravity.