标题： 精确黑洞散射振幅 显示英文标题

标题： An Exact Black Hole Scattering Amplitude

摘要： 广义相对论著名地预言了施瓦茨希尔德度规中轨道运动的进动。 在本文中，我们表明通过添加一个NUT电荷$N = iM$，进动在$G$的所有阶次上消失，即使对于旋转黑洞也是如此。 此外，我们猜想了一种eikonal公式的推广，并表明通过后闵可夫斯基径向作用的指数化，经典可积轨迹决定了该黑洞的完整量子振幅。 讨论了自对偶引力中可积性的几个后果。 显示英文摘要

摘要： General Relativity famously predicts precession of orbital motions in the Schwarzschild metric. In this paper we show that by adding a NUT charge $N = iM$ the precession vanishes to all orders in $G$ even for rotating black holes. Moreover, we conjecture a generalization of the eikonal formula and show that the classical integrable trajectories determine the full quantum amplitude for this black hole, by means of exponentiation of the Post-Minkowskian radial action. Several consequences of integrability in self-dual gravity are discussed.