  We present a time dependent isotropic fluid solution around a Schwarzschild
black hole. We offer the solutions and discuss the effects on the field
equations and the horizon. We derive the energy density, pressure and the
equation of state parameter. In the second part, we generalize the rotating
black hole solution to an expanding universe. We derive from the proposed
metric the special solutions of the field equations for the dust approximation
and the dark energy solution. We show that the presence of a rotating black
hole does not modify the scale factor $b(t)=t^{2/3}$ law for dust, nor
$b(t)=e^{\lambda\hspace{1mm}t}$ and $p=-\rho$ for dark energy.
