  In this article the static Einstein-Vlasov-Maxwell system is considered in
spherical symmetry. This system describes an ensemble of charged particles
interacting by general relativistic gravity and Coulomb forces. First, a proof
for local existence of solutions around the center of symmetry is given. Then,
by virtue of a perturbation argument, global existence is established for small
particle charges. The method of proof yields solutions with matter quantities
of bounded support - among other classes, shells of charged Vlasov matter. As a
further result, the limit of infinitesimal thin shells as solution of the
Einstein-Vlasov-Maxwell system is proven to exist for arbitrary values of the
particle charge parameter. In this limit a Buchdahl-type inequality linking
radius, charge and Hawking mass, obtained by Andreasson becomes sharp. However,
in this limit the charge terms in the inequality are shown to tend to zero.
