A note on Reissner-Nordstrom black holes in the inverse electrodynamics model

Abstract

Recently, the inverse electrodynamics model (IEM) was introduced and applied to find Reissner-Nordstrom black holes in the context of the general relativity coupled minimally with the nonlinear electrodynamics. The solution consists of both electric and magnetic fields as of the dyonic solutions. Here, in this note, we show that the IEM model belongs to a more general class of the nonlinear electrodynamics with T = T-mu(mu) = 0. Here, T-mu(nu) is the energy momentum tensor of the nonlinear electrodynamic Lagrangian. Naturally, such a dyonic RN black hole solution is the solution for this general class.