发表机构
Academy of Mathematics and Systems Science, Chinese Academy of Sciences; School of Mathematical Sciences, University of Chinese Academy of Sciences; School of Mathematics, Guangxi University; Guangxi Center for Mathematical Research, Guangxi University; Ningde No.5 Middle School of Fujian（中国科学院数学与系统科学研究院; 中国科学院大学数学科学学院; 广西大学数学学院; 广西大学广西数学研究中心; 福建省宁德第五中学）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文研究Schwarzschild和Reissner-Nordström时空中无质量粒子的随机径向运动，证明在有限坐标时间内进入黑洞的概率为零，表明量子效应的随机扰动保留了经典黑洞的性质。
AI 中文摘要
在经典广义相对论中，众所周知，在黑洞时空中，外部区域径向移动的无质量粒子到达事件视界需要无限坐标时间。在本文中，我们使用两种随机版本的径向零测地线方程来研究Schwarzschild和Reissner-Nordström时空中无质量粒子的随机径向运动。我们证明，径向移动的无质量粒子在有限坐标时间内进入黑洞的概率仍然为零。这表明量子效应的随机扰动保留了经典黑洞的某些性质。
英文摘要
In classical general relativity, it is well known that radially moving massless particles in the exterior region take infinite coordinate time to reach the event horizon in black hole spacetimes. In this short paper, we use two stochastic versions of ingoing radial null geodesic equation to study the stochastic radial motion of massless particles in Schwarzschild and Reissner-Nordström spacetimes. We show that the probability that a radially moving massless particle enters the black hole in finite coordinate time remains zero. This indicates the stochastic perturbations of quantum effects preserve certain properties of classical black holes.
Comments15 pages, submitted to Modern Mathematical Physics
