Black-hole solution in nonlinear electrodynamics with the maximum allowable symmetries

Abstract The nonlinear Maxwell Lagrangian preserving both conformal and SO(2) duality-rotation invariance has been introduced very recently. Here, in the context of Einstein’s theory gravity minimally coupled with this electrodynamics, we obtain a black hole solution which is Reissner–Nordström one additional parameter that coming from theory. We employ causality unitarity principles to identify an upper bound for free parameter. effects on physical properties are investigated.