AI 中文总结
该研究针对极端带电黑洞，将Ferrell-Eardley的微扰方法从双黑洞扩展到三黑洞，对比旋转双黑洞场中测试粒子与小黑洞的运动，发现第三个黑洞受排斥性自引力，推进了广义相对论三体问题的分析研究。
AI 中文摘要
我们针对一组极端带电黑洞，分析研究了广义相对论中的受限三体问题。我们采用了Ferrell和Eardley的方法，该方法包含对描述此类黑洞静态集合的Majumdar-Papapetrou解进行微扰处理。我们将该方法从双黑洞扩展到了三黑洞系统。我们对比了旋转双黑洞场中测试粒子与小黑洞的运动，发现作用在第三个黑洞上存在排斥性自引力。
英文摘要
We examine analytically the restricted 3-body problem in general relativity for a set of extremally charged black holes. We apply the method of Ferrell and Eardley, which consists in perturbing the Majumdar-Papapetrou solution that describes a static set of such black holes. We extend the method from a pair of black holes to a triplet. We compare the motion of a test particle and a small black hole in the field of a rotating black-hole binary and discover a repulsive self-force acting upon the third black hole.
Comments9 pages; 6 figures; Phys. Rev. D - Accepted 19 August, 2026; \c{opyright}2026 American Physical Society
