论文标题
高斯无效的坐标，用于旋转带电的黑洞和保守的电荷
Gaussian Null Coordinates for Rotating Charged Black Holes and Conserved Charges
论文作者
论文摘要
由对极端黑洞的标量场的保守aretakis电荷的研究激励，我们在高斯无效的零坐标中为某些四维和五维极端旋转黑洞的某些类别构建了指标。我们将其作为径向坐标的力量的扩展，达到足够的顺序，以便能够计算Aretakis电荷。我们认为的指标是针对四维STU超级（包括等同案例中的Kerr-Newman Black Hole）和五维STU Supergravity中的一般3付的黑洞。我们还调查了可以通过将度量标准倒置为Nenman-Penrose指控在Null Infinity的纽曼·普埃罗（Newman-Penrose）指控中映射出极端黑洞的Aretakis指控的情况。我们表明，虽然这适用于四维静态黑洞，但旋转案例中简单的径向反演失败了，因为无质量标量方程的必要保形对称性会破裂。我们还讨论，即使在静态的渐近平稳时期，也没有任何保守的纽曼 - 芬罗电荷，其尺寸的无质量标量场也没有任何保守的纽曼 - 芬罗电荷。
Motivated by the study of conserved Aretakis charges for a scalar field on the horizon of an extremal black hole, we construct the metrics for certain classes of four-dimensional and five-dimensional extremal rotating black holes in Gaussian null coordinates. We obtain these as expansions in powers of the radial coordinate, up to sufficient order to be able to compute the Aretakis charges. The metrics we consider are for 4-charge black holes in four-dimensional STU supergravity (including the Kerr-Newman black hole in the equal-charge case) and the general 3-charge black holes in five-dimensional STU supergravity. We also investigate the circumstances under which the Aretakis charges of an extremal black hole can be mapped by conformal inversion of the metric into Newman-Penrose charges at null infinity. We show that while this works for four-dimensional static black holes, a simple radial inversion fails in rotating cases because a necessary conformal symmetry of the massless scalar equation breaks down. We also discuss that a massless scalar field in dimensions higher than four does not have any conserved Newman-Penrose charge, even in a static asymptotically flat spacetime.
