Reissner-Nordström 黑洞时空被宇宙弦穿透时的零测地线
Null Geodesics in the Reissner-Nordström Black Hole Spacetime Pierced by a Cosmic String
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中文总结 AI 辅助
本文研究被宇宙弦穿透的Reissner-Nordström黑洞中的零测地线，按|Q|/M分类求解，并数值模拟显示宇宙弦增强缠绕，电荷减小偏折角而宇宙弦增大偏折角。
中文摘要 AI 辅助
本文研究了被宇宙弦穿透的 Reissner-Nordström 黑洞时空中的零测地线。对运动方程的分析表明，在这个锥形时空中，零测地线可分为三大类，且分类完全由比值 $|Q|/M$ 决定（其中 $Q$ 和 $M$ 分别表示黑洞的电荷和质量）。针对每一类，我们获得了零测地线方程的解析解。基于这些解，我们对光线轨迹进行了数值模拟，并详细分析了黑洞电荷 $Q$ 和宇宙弦参数 $\alpha$ 的影响。研究发现，宇宙弦参数 $\alpha$ 增强了所有三大类零测地线的缠绕行为。最后，我们考虑了赤道平面内的光线偏折，推导出了偏折角的表达式，揭示了电荷 $Q$ 减小偏折角，而宇宙弦参数 $\alpha$ 增大偏折角。
英文摘要
In this paper, we investigate null geodesics in the spacetime of a Reissner-Nordström black hole pierced by a cosmic string. Analysis of the equations of motion reveals that null geodesics in this conical spacetime can be classified into three main categories, with the classification entirely determined by the ratio $|Q|/M$ (where $Q$ and $M$ denote the black hole charge and mass, respectively). Analytical solutions to the null geodesic equations are obtained for each category. Based on these solutions, we numerically simulate light trajectories and analyze in detail the effects of the black hole charge $Q$ and the cosmic string parameter $α$. It is found that the cosmic string parameter $α$ enhances the winding behavior of null geodesics across all three main categories. Finally, we consider light deflection in the equatorial plane and derive an expression for the deflection angle, revealing that the charge $Q$ decreases the deflection angle, whereas the cosmic string parameter $α$ increases it.
发表机构
- College of Physics, Nanjing University of Aeronautics and Astronautics（南京航空航天大学物理学院）
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