This paper probes the geodesic structure of spherically symmetric charged black holes using modified theory of gravity. We explore the geodesic structures of different black holes in the background of Palatini f(R) theory as well as Eddington-inspired Born–Infeld gravity. We have examined the stability of orbits with the analysis of effective potential. The impacts of modified gravity on particle dynamics specially the circular orbits, the deflection angle and trajectory followed by lightlike as well as for timelike particles are scrutinized. We find that the orbits are more stable for the large values of charge and Born–Infeld parameter.

中文翻译：

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帕拉蒂尼重力下球对称黑洞的测地线研究

本文利用修正的引力理论探讨了球对称带电黑洞的测地线结构。我们在帕拉蒂尼的背景下探索不同黑洞的测地线结构F(R)理论以及受爱丁顿启发的玻恩-英菲尔德引力理论。我们通过有效势的分析检查了轨道的稳定性。研究了修正重力对粒子动力学的影响，特别是圆形轨道、类光粒子和类时间粒子的偏转角和轨迹。我们发现对于较大的电荷值和 Born-Infeld 参数，轨道更稳定。