Recently, the inverse electrodynamics model (IEM) was introduced and applied to find Reissner–Nordström black holes in the context of the general relativity coupled minimally with the nonlinear electrodynamics. The solution consists of both electric and magnetic fields as of the dyonic solutions. Here, in this note, we show that the IEM model belongs to a more general class of the nonlinear electrodynamics with T = Tμμ = 0. Here, Tμν is the energy momentum tensor of the nonlinear electrodynamic Lagrangian. Naturally, such a dyonic RN black hole solution is the solution for this general class.

中文翻译：

---

关于逆电动力学模型中 Reissner–Nordström 黑洞的注释

最近，逆电动力学模型 (IEM) 被引入并应用于在广义相对论与非线性电动力学最小耦合的背景下寻找 Reissner-Nordström 黑洞。与 dyonic 解决方案一样，该解决方案由电场和磁场组成。在这里，在这篇笔记中，我们展示了 IEM 模型属于更一般的非线性电动力学类别吨 = 吨μμ = 0. 这里，吨μν是非线性电动拉格朗日的能量动量张量。自然，这样的 dyonic RN 黑洞解决方案就是这个通用类的解决方案。