论文标题
Kerr的超媒体限制
The ultrarelativistic limit of Kerr
论文作者
论文摘要
Schwarzschild黑洞具有固定能量的无质量（或超偏移主义）极限是在很久以前以Aichelburg-sexl冲击波的形式确定的，但是Kerr Black Hole的相同极限的状态尚不清楚。在本文中，我们通过利用与标量和度量标准源之间的散射相关的度量分布和艾科纳尔相之间的关系来探讨Kerr-Schild脉冲PP波浪中KERR的超级限制。这给出了候选指标和树级的4点散射幅度之间的地图。在距来源很大的距离上，我们发现该班级中Kerr无质量极限的所有候选者都没有自旋效应。这包括对应于标量和无限自旋质粒子之间重力散射的无质量极限的度量。 Balasin和Nachbagauer发现的一个度量标准确实在短距离内具有自旋和有限的尺寸效应，从而导致散射幅度非常紧密，具有许多有趣的特性。我们还讨论了电子电磁中克尔超级限制极限的经典单副本。
The massless (or ultrarelativistic) limit of a Schwarzschild black hole with fixed energy was determined long ago in the form of the Aichelburg-Sexl shockwave, but the status of the same limit for a Kerr black hole is less clear. In this paper, we explore the ultrarelativistic limit of Kerr in the class of Kerr-Schild impulsive pp-waves by exploiting a relation between the metric profile and the eikonal phase associated with scattering between a scalar and the source of the metric. This gives a map between candidate metrics and tree-level, 4-point scattering amplitudes. At large distances from the source, we find that all candidates for the massless limit of Kerr in this class do not have spin effects. This includes the metric corresponding to the massless limit of the amplitude for gravitational scattering between a scalar and a massive particle of infinite spin. One metric, discovered by Balasin and Nachbagauer, does have spin and finite size effects at short distances, leading to a remarkably compact scattering amplitude with many interesting properties. We also discuss the classical single copy of the ultrarelativistic limit of Kerr in electromagnetism.
