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

preprint2020arXivOpen access

Abstract

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

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