论文标题
从旋转到充电的黑洞再返回
From Rotating to Charged Black Holes and Back Again
论文作者
论文摘要
弱重力猜想（WGC）的轻度形式需要更高的导数校正为极端带电的黑洞以增加其电荷与质量比。这允许通过排放较小的极端黑洞的衰减。在本文中，我们研究了极端旋转黑洞是否有类似的限制。我们这样做是通过考虑针对四维Kerr黑洞和五维Myers-Perry黑洞的领先较高衍生化校正。我们将这些旋转溶液的已知映射用于四维非旋转二元二氧化体kaluza-klein黑洞，并将WGC施加在此带电的溶液上。再次回到旋转的解决方案，这将校正的符号固定在旋转极端界限上。根据所考虑的黑洞，校正的迹象是非宇宙的。我们认为，这与黑洞衰减并不相抵触，因为存在持续在极限极限的超级不稳定性的存在。当存在这种不稳定性时，对于四维带电的黑洞暗示了WGC。
The mild form of the Weak Gravity Conjecture (WGC) requires higher derivative corrections to extremal charged black holes to increase their charge-to-mass ratio. This allows decay via emission of a smaller extremal black hole. In this paper, we investigate if similar constraints hold for extremal rotating black holes. We do so by considering the leading higher derivative corrections to the four-dimensional Kerr black hole and five-dimensional Myers-Perry black hole. We use a known mapping of these rotating solutions to a four-dimensional non-rotating dyonic Kaluza-Klein black hole and impose the WGC on this charged solution. Going back again to the rotating solutions, this fixes the sign of the corrections to the rotating extremality bounds. The sign of the corrections is non-universal, depending on the black hole under consideration. We argue that this is not at odds with black hole decay, because of the presence of a superradiant instability that persists in the extremal limit. When this instability is present, the WGC is implied for the four-dimensional charged black hole.
