This study explores the deflection angle of photon rays or light-like geodesics within the framework of Eddington-inspired Born–Infeld (EiBI) gravity background space-time, taking into account the influence of cosmic strings. The primary focus lies in deriving the effective potential of the system applicable to both null and time-like geodesics, as well as determining the angle of deflection for light-like geodesics. Our analysis shows that the presence of cosmic strings induces modifications in these physical quantities, leading to shifts in their respective values.

中文翻译：

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爱丁顿启发的玻恩-因费尔德引力中的宇宙弦时空引力透镜

这项研究探讨了爱丁顿启发的玻恩-因费尔德（EiBI）重力背景时空框架内光子射线或类光测地线的偏转角度，并考虑了宇宙弦的影响。主要重点在于推导出适用于零测地线和类时间测地线的系统的有效潜力，以及确定类光测地线的偏转角度。我们的分析表明，宇宙弦的存在会引起这些物理量的变化，导致它们各自的值发生变化。