$n+1$-dimensional Bertotti-Robinson solutions in gravity coupled with nonlinear electrodynamics

Abstract

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.

6 pages, no figure. Final copy published in Classical and Quantum Gravity

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