论文标题
Newman-Penrose地图和经典的双副本
The Newman-Penrose Map and the Classical Double Copy
论文作者
论文摘要
仪表重度二元性可以说是我们理解量子重力的最大希望。将某些重力理论的散射幅度与量规理论的散射幅度相关联，已经取得了很大的进步，这是一种称为“双拷贝”的信件。最近，在经典环境中也实现了双副本，因为量规理论和重力的精确解决方案之间的地图。我们在这里介绍了爱因斯坦方程的某些真实，精确的解决方案与平空真空麦克斯韦方程的自动偶联解决方案之间的新图。我们称之为“纽曼 - 芬罗斯地图”的地图，即使对于非武器，非平稳的空间，也是明确的，它为在此环境中以前尚未研究过的双副本的背景下提供了一个系统的框架。为了说明这一点，我们在这里介绍了Schwarzschild和Kerr Black Holes的Newman-Penrose地图，以及Kinnersley的Photon Rocket。
Gauge-gravity duality is arguably our best hope for understanding quantum gravity. Considerable progress has been made in relating scattering amplitudes in certain gravity theories to those in gauge theories---a correspondence dubbed the "double copy". Recently, double copies have also been realized in a classical setting, as maps between exact solutions of gauge theories and gravity. We present here a novel map between a certain class of real, exact solutions of Einstein's equations and self-dual solutions of the flat-space vacuum Maxwell equations. This map, which we call the "Newman-Penrose map", is well-defined even for non-vacuum, non-stationary spacetimes, providing a systematic framework for exploring gravity solutions in the context of the double copy that have not been previously studied in this setting. To illustrate this, we present here the Newman-Penrose map for the Schwarzschild and Kerr black holes, and Kinnersley's photon rocket.
