强偏转：球对称时空中质粒子的偏转
广义相对论与量子宇宙学
2026-03-12 v6
摘要
接近引力致密天体的区域，沿准时类路径传播的质粒子在引力偏转上与光线类似。本文研究这些粒子在强偏转极限下的偏转角。该解析近似适用于未束缚轨道的粒子接近致密天体、在半径接近不稳定圆形轨道附近盘旋，然后最终逃逸的情形。虽然先前研究针对特定度规给出了结果，但我们提供了适用于任意静态、球对称且渐远平坦时空的通用解。我们首先简要回顾了质粒子偏转角的精确表达式，然后提出此一般情况的强偏转极限分析。随后将所develop的公式应用于三种特定度规：Schwarzschild、Reissner-Nordström和Janis-Newman-Winicour。
引用
@article{arxiv.2412.16712,
title = {Strong deflection of massive particles in spherically symmetric spacetimes},
author = {Fabiano Feleppa and Valerio Bozza and Oleg Yu. Tsupko},
journal= {arXiv preprint arXiv:2412.16712},
year = {2026}
}
备注
16 pages, 11 figures; v2: typos corrected, version accepted for publication in Physical Review D; v3: published version; v4: further typos fixed; v5: minor edits for clarity; v6: corrected typos in Eqs. (23), (24), (43), and (58); no change to the conclusions