  A class of exact solutions of the Einstein-Maxwell equations is presented
which contains infinite sets of gravitoelectric, gravitomagnetic and
electromagnetic multipole moments. The multipolar structure of the solutions
indicates that they can be used to describe the exterior gravitational field of
an arbitrarily rotating mass distribution endowed with an electromagnetic
field. The presence of gravitational multipoles completely changes the
structure of the spacetime because of the appearance of naked singularities in
a confined spatial region. The possibility of covering this region with
interior solutions is analyzed in the case of a particular solution with
quadrupole moment.
