标题： 弱耦合整体单极子荷附近的黑洞的零测地线 显示英文标题

标题： Null geodesics around a black hole with weakly coupled global monopole charge

摘要： 本文研究了一种渐近平直且具有弱非最小耦合单极荷的黑洞时空。我们通过常用的拉格朗日形式化方法，解析地和数值地探讨了光线在这种黑洞周围的传播情况。我们的分析涵盖了径向和角度测地线，对于这些测地线，我们以不完备的 Lauricella 超几何函数的形式给出了解析解。此外，我们还探讨了耦合常数对测地线运动的影响。基于事件视界望远镜的观测结果，我们限制了黑洞参数，得到了耦合常数的一个范围为$-0.5\lesssim \alpha\lesssim 0.5$。在我们的整个分析过程中，我们模拟了所有可能的轨迹，并在必要时对包含的积分进行了数值反演。 显示英文摘要

摘要： In this paper, we study an asymptotically flat black hole spacetime with weakly nonminimally coupled monopole charge. We analytically and numerically investigate light ray propagation around such a black hole by employing the common Lagrangian formalism. Our analysis encompasses both radial and angular geodesics, for which we present analytical solutions in terms of incomplete Lauricella hypergeometric functions. Additionally, we explore the impact of the coupling constant on geodesic motion. Based on observations from the Event Horizon Telescope, we constrain the black hole parameters, resulting in a coupling constant range of $-0.5\lesssim \alpha\lesssim 0.5$. Throughout our analysis, we simulate all possible trajectories and, where necessary, perform numerical inversion of the included integrals.