In the present work, we extend and generalize our previous work regarding the scale dependence applied to black holes in the presence of non-linear electrodynamics (Rincón et al., 2017). The starting point for this study is the Einstein-power-Maxwell theory with a vanishing cosmological constant in (3+1) dimensions, assuming a scale dependence of both the gravitational and the electromagnetic coupling. We further examine the corresponding thermodynamic properties and how these quantities experience deviations from their classical counterparts. We solve the effective Einstein’s field equations using the “null energy condition” to obtain analytical solutions. The implications of quantum corrections are also briefly discussed. Finally, we analyze our solutions and compare them to related results in the literature.

在当前工作中，我们扩展和归纳了关于非线性电动力学存在下应用于黑洞的尺度依赖性的先前工作（Rincón等人，2017）。这项研究的出发点是爱因斯坦-功率-麦克斯韦理论，其宇宙学常数在（3 + 1）尺度上逐渐消失，假设重力和电磁耦合均与尺度有关。我们进一步检查了相应的热力学性质，以及这些量如何经历偏离其经典对应物的偏差。我们使用“零能量条件”求解有效的爱因斯坦场方程，以获得解析解。还简要讨论了量子校正的含义。最后，我们分析我们的解决方案，并将其与文献中的相关结果进行比较。