  We study warped products semi-Riemannian Einstein manifolds. We consider the
case in that the base is conformal to an n-dimensional pseudo Euclidean space
and invariant under the action of an translation group. We provide all such
solutions in the case Ricci flat when the base is conformal to an n-dimensional
pseudo-Euclidean space, invariant under the action of an translation group and
the fiber F is Ricci flat. In particular, we obtain explicit solutions, in the
case vacuum, for the Einstein field equation.
