Entropy and holography constraints for inhomogeneous universes

We calculated the entropy of a class of inhomogeneous dust universes. Allow ing spherical symmetry, we proposed a holographic principle by reflecting a ll physical freedoms on the surface of the apparent horizon. In contrast to flat homogeneous counterparts, the principle may break down in some models . We refined fractal parabolic solutions to have a reasonable entropy value for the present observable universe and found that the holographic princip le always holds in the realistic cases.