标题： 奇数维旋转爱因斯坦-麦克斯韦黑洞 显示英文标题

标题： Rotating Einstein-Maxwell black holes in odd dimensions

摘要： 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引起的爱因斯坦方程。 与四维情况不同，麦克斯韦方程被由拓扑Chern-Simons耦合产生的源修改，这种情况已经在最小五维超引力中遇到过。 在所有奇数维度构造出显式几何结构后，我们证明了在新背景上的克莱因-戈登方程是完全可分离的。 显示英文摘要

摘要： 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.