论文标题
最大超级旋转极端黑洞的通用沙发倾斜对称性
Generalised Couch-Torrence Symmetry for Rotating Extremal Black Holes in Maximal Supergravity
论文作者
论文摘要
极端雷森·诺德斯特斯特斯特罗姆·黑洞（NordströmBlackHole）承认了形式的反式对称性，其中指标在径向坐标的反转下映射到自身，并结合了保形重新缩放。 In the rotating generalisation, Couch and Torrence showed that the Kerr-Newman metric no longer exhibits a conformal inversion symmetry, but the radial equation arising in the separation of the massless Klein-Gordon equation admits a mode-dependent inversion symmetry, where the radius of inversion depends upon the energy and azimuthal angular momentum of the mode.最近显示的是，Stu超级静态的4支芯极性黑洞承认了保形反转对称性的概括，其中保形的指标是相同4 charge Black Hole家族的成员，但具有转换的指控。在本文中，我们研究了这些反转对称性的进一步概括，即极端Stu超级黑洞的一般类别。对于旋转的黑洞，无质量的klein-gordon方程是可分离的，我们表明，带有四个电荷的示例表现出径向方程的沙发 - 倾斜对称性的概括。现在，就像在静态专业的共形反转中一样，径向方程的反转将其映射到径向方程式中，用于带有转换电荷的旋转黑洞。我们还研究了带有八个电荷的极端BPS stu黑洞的一般情况的反演转换（4台电动磁性），并认为对于静态和旋转情况，倒置对称性的类似概括既存在。
The extremal Reissner-Nordström black hole admits a conformal inversion symmetry, in which the metric is mapped into itself under an inversion of the radial coordinate combined with a conformal rescaling. In the rotating generalisation, Couch and Torrence showed that the Kerr-Newman metric no longer exhibits a conformal inversion symmetry, but the radial equation arising in the separation of the massless Klein-Gordon equation admits a mode-dependent inversion symmetry, where the radius of inversion depends upon the energy and azimuthal angular momentum of the mode. It was more recently shown that the static 4-charge extremal black holes of STU supergravity admit a generalisation of the conformal inversion symmetry, in which the conformally-inverted metric is a member of the same 4-charge black hole family but with transformed charges. In this paper we study further generalisations of these inversion symmetries, within the general class of extremal STU supergravity black holes. For the rotating black holes, where again the massless Klein-Gordon equation is separable, we show that examples with four electric charges exhibit a generalisation of the Couch-Torrence symmetry of the radial equation. Now, as in the conformal inversion of the static specialisations, the inversion of the radial equation maps it to the radial equation for a rotating black hole with transformed electric charges. We also study the inversion transformations for the general case of extremal BPS STU black holes carrying eight charges (4 electric plus 4 magnetic), and argue that analogous generalisations of the inversion symmetries exist both for the static and the rotating cases.
