Reissner-Nordström黑洞中的引力自旋霍尔效应：演化方程与电荷效应
Gravitational spin Hall effect in the Reissner-Nordström black holes: evolution equations and charge effects
- Key Laboratory of Atomic and Subatomic Structure and Quantum Control (Ministry of Education), Guangdong Basic Research Center of Excellence for Structure and Fundamental Interactions of Matter, School of Physics, South China Normal University（原子与亚原子结构及量子控制重点实验室（教育部），广东省物质结构与基本相互作用卓越研究中心，华南师范大学物理学院）
- Guangdong Provincial Key Laboratory of Quantum Engineering and Quantum Materials, Guangdong-Hong Kong Joint Laboratory of Quantum Matter, South China Normal University（广东省量子工程与量子材料重点实验室，粤港澳量子物质联合实验室，华南师范大学）
机构由 AI 辅助整理，请以论文原文为准。
AI总结：
研究Reissner-Nordström时空中引力自旋霍尔效应，推导光线偏差与倾斜角演化方程，发现电荷使效应减弱，光子球附近出现振荡与发散。
AI中文摘要：
我们研究了Reissner-Nordström时空中测试电磁波的自旋光学方程。该背景的显式和隐式对称性使得沿零测地线平行传播的复零标架能够被显式构造。由此标架，我们得到了光线偏离零测地线的偏差以及其轨道平面倾斜角的演化方程。在这些方程中，电荷项以与质量项相反的符号出现。数值积分证实，引力自旋霍尔效应随电荷增加而减弱：在远离临界值的固定碰撞参数下，无量纲倾斜角的大小随$Q$减小。当转向点接近光子球时，其大小先增大，随后表现出振荡行为。由于物理倾斜角与约化波长成正比，只要自旋光学近似适用，它始终保持较小。只有当光线在光子球上传播时才会出现发散。
英文摘要：
We study the spinoptics equations for test electromagnetic wave in the Reissner-Nordström spacetime. The explicit and hidden symmetries of this background allow the complex null tetrad parallel-propagated along the null geodesic to be constructed explicitly. From this tetrad we obtain the evolution equations for the deviation of the ray from the null geodesic and for the tilting angle of its orbital plane. In these equations the charge term enters with a sign opposite to the mass term. Numerical integration confirms that the gravitational spin Hall effect becomes weaker with increasing charge: at a fixed impact parameter away from the critical value, the magnitude of the dimensionless tilting angle decreases with $Q$. As the turning point approaches the photon sphere, its magnitude grows firstly, and then exhibits an oscillatory behavior. Since the physical tilting angle is proportional to the reduced wavelength, it remains small whenever the spinoptics approximation is applicable. A divergence occurs only when the ray travels on the photon sphere.
