Explicit expressions for the bending angle of light deflection arising from phenomenologically deformed black hole metrics, subject to possible weak and strong quantum gravity effects, respectively, are obtained, by a highly effective method. The accuracy and effectiveness of these expressions are then illustrated by numerically solving the differential equation governing the deflection angle directly in the weak quantum-gravity effect situation.

中文翻译：

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在可能的弱和强量子引力效应下确定光偏转的弯曲角

通过一种高效的方法，得到了由现象学变形的黑洞度量产生的光偏转弯曲角的显式表达式，分别受到可能的弱量子引力效应和强量子引力效应的影响。然后通过数值求解直接在弱量子引力效应情况下控制偏转角的微分方程来说明这些表达式的准确性和有效性。