We re-examine the power-law Maxwell nonlinear electrodynamics (NED) where the generalized Maxwell’s Lagrangian is considered to be ##IMG## [http://ej.iop.org/images/0264-9381/37/19/197001/cqgabb07bieqn1.gif] {$-\alpha {\left\vert {F}_{\alpha \beta }{F}^{\alpha \beta }\right\vert }^{s}$} . In [1], where a d -dimensional static spherically symmetric spacetime was considered the pure electric field has been found to be ##IMG## [http://ej.iop.org/images/0264-9381/37/19/197001/cqgabb07bieqn2.gif] {$E\left(r\right)=\frac{C}{{r}^{\frac{d-2}{2s-1}}}$} where s = 0 should be excluded. Here in this study, we find analytically the corresponding NED Lagrangian which corresponds to this specific choice of s . Hence, the complementary black hole solution to [1] together with its basic physical properties and thermal stability are presented.

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关于幂律麦克斯韦非线性电动力学

我们重新检查幂律麦克斯韦非线性电动力学（NED），其中广义麦克斯韦拉格朗日被认为是## IMG ## [http://ej.iop.org/images/0264-9381/37/19/197001 /cqgabb07bieqn1.gif] {$-\ alpha {\ left \ vert {F} _ {\ alpha \ beta} {F} ^ {\ alpha \ beta} \ right \ vert} ^ {s} $}。在[1]中，考虑了广告维静态球对称时空，发现纯电场为## IMG ## [http://ej.iop.org/images/0264-9381/37/19/ 197001 / cqgabb07bieqn2.gif] {$ E \ left（r \ right）= \ frac {C} {{r} ^ {\ frac {d-2} {2s-1}}} $$其中s = 0应该是排除在外。在此研究中，我们从分析上找到与s的此特定选择相对应的相应NED拉格朗日。因此，提出了对[1]的补充黑洞解决方案及其基本物理性质和热稳定性。