论文标题
旋转宇宙弦空间的波传播
Wave propagation on rotating cosmic string spacetimes
论文作者
论文摘要
旋转的宇宙弦弦时期的沿时间曲线具有奇异性，该曲线对应于一维角动量来源。这样的空间不是全球双曲线：它们承认弦附近的封闭时间曲线。这给研究了通过常规能量方法研究波方程的解决方案的存在提出了挑战。在这项工作中，我们表明，对于波动方程的半全球向前解确实存在，但仅在微局部意义上。该存在定理中的主要成分是奇异定理的传播，将能量输入弦与离开弦的能量的能量相关。繁殖定理位于吹动字符串的一定振动的纤维中，但全球时间是及时的，这意味着以前可能会出现一次进入弦的能量。
A rotating cosmic string spacetime has a singularity along a timelike curve corresponding to a one-dimensional source of angular momentum. Such spacetimes are not globally hyperbolic: they admit closed timelike curves near the string. This presents challenges to studying the existence of solutions to the wave equation via conventional energy methods. In this work, we show that semi-global forward solutions to the wave equation do nonetheless exist, but only in a microlocal sense. The main ingredient in this existence theorem is a propagation of singularities theorem that relates energy entering the string to energy leaving the string. The propagation theorem is localized in the fibers of a certain fibration of the blown-up string, but global in time, which means that energy entering the string at one time may emerge previously.
