  We find a new homogeneous solution to the Einstein-Maxwell equations with a
cosmological term. The spacetime manifold is $R \times S^3$. The spacetime
metric admits a simply transitive isometry group $G = R \times SU(2)$ of
isometries and is of Petrov type I. The spacetime is geodesically complete and
globally hyperbolic. The electromagnetic field is non-null and non-inheriting:
it is only invariant with respect to the $SU(2)$ subgroup and is time-dependent
in a stationary reference frame.
