In this paper we use the theory of mean-stable surfaces (stable minimal
surfaces included) to explore the static Einstein-Maxwell space-time. We first
prove that the zero set of the lapse function must be contained in the horizon
boundary. Then, we explore some implications of it providing some results of
nonexistence of stable minimal surfaces in the interior of an electrostatic
space, subject to a certain initial boundary data. We finish by proving that
the ADM mass is bounded from above by the Hawking quasi-local mass