We consider the pure electric type power-law Lagrangian in nonlinear electrodynamics theory of dimensions $n+1$. Conformally flat form of Bertotti-Robinson type spacetimes are obtained in all these dimensions with the specific power $s=-\frac{1}{n-4},$which naturally excludes $n=4.$ This particular dimension is considered separately which is not of power-law form.

中文翻译：

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与非线性电动力学耦合的重力中的 n + 1 维 Bertotti-Robinson 解

我们考虑维度$n+1$的非线性电动力学理论中的纯电型幂律拉格朗日。Bertotti-Robinson 型时空的共形平坦形式在所有这些维度中获得，具有比幂 $s=-\frac{1}{n-4},$ 自然不包括 $n=4.$ 这个特定维度被单独考虑这不是幂律形式。