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 = -1/n-4, which naturally excludes n = 4. This particular dimension is considered separately which is not of power-law form.