  We introduce a physical characterization of the static and stationary perfect
fluid solutions of the Einstein field equations with a single or 2-component
perfect fluid sources, according to their gravitoelectric and gravitomagnetic
fields. The absence or presence of either or both of these fields could
restrict the equations of state of the underlying perfect fluid sources. As the
representative of each family of solutions, we consider those spaces that
include the cosmological term as a dark fluid source with the equation of state
$p=-\rho = constant$.
