  We present an exact, time-dependent solution for the Einstein field equations
that models the coupling between an anisotropic fluid and a magnetic field in
an axially symmetric space-time. By carefully selecting the metric components,
we achieve a convenient separation of variables that enables us to solve
Einstein's field equations and obtain a solution that evolves into the
Gutsunaev-Manko massive magnetic dipole. The analysis of the thermodynamic
quantities suggests that this solution may represent a pulse of radiation
emitted by a massive object with magnetic properties as for example pulsars or
neutron stars.
