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High Energy Physics - Theory

arXiv:2411.01795v1 (hep-th)
[Submitted on 4 Nov 2024 (this version) , latest version 12 Dec 2024 (v2) ]

Title: Rotating Einstein-Maxwell black holes in odd dimensions

Title: 奇数维旋转爱因斯坦-麦克斯韦黑洞

Authors:Rhucha Deshpande, Oleg Lunin
Abstract: To construct higher-dimensional counterparts of the Kerr-Newman black holes, we consider Einstein's equations sourced by a vector field and a negative cosmological constant. In contrast to the four-dimensional case, the Maxwell's equations are modified by sources generated by topological Chern-Simons couplings, the situation already encountered in the minimal five dimensional supergravity. After constructing explicit geometries in all odd dimensions, we demonstrate that the Klein-Gordon equation on the new backgrounds is fully separable.
Abstract: 为了构造Kerr-Newman黑洞的高维对应物,我们考虑由矢量场和负宇宙常数源驱动的爱因斯坦方程。 与四维情况相反,麦克斯韦方程被由拓扑Chern-Simons耦合产生的源所修改,这种情况已经在最小五维超引力中遇到过。 在所有奇数维度中构造出显式几何结构后,我们证明在新背景下的克莱因-戈登方程是完全可分离的。
Comments: 24 pages
Subjects: High Energy Physics - Theory (hep-th)
Cite as: arXiv:2411.01795 [hep-th]
  (or arXiv:2411.01795v1 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.2411.01795
arXiv-issued DOI via DataCite

Submission history

From: Oleg Lunin [view email]
[v1] Mon, 4 Nov 2024 04:34:32 UTC (18 KB)
[v2] Thu, 12 Dec 2024 06:19:56 UTC (19 KB)
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