  We consider a five-dimensional Einstein-Gauss-Bonnet model, which gives rise
after dimensional reduction to Einstein gravity nonminimally coupled to
nonlinear electrodynamics. The black hole solutions of the four-dimensional
model modify the Reissner-Nordstrom solutions of general relativity. The
gravitational field presents the standard singularity at $r=0$, while the
electric field can be regular everywhere if the magnetic charge vanishes
