title: Entropy and holography constraints for inhomogeneous universes.
abstract: We calculated the entropy of a class of inhomogeneous dust universes. Allowing spherical symmetry, we proposed a holographic principle by reflecting all 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 principle always holds in the realistic cases.
authors.affiliation: Instituto de Física, Universidade de São Paulo, C.P.66.318, CEP 05315-970, São Paulo, Brazil.
authors.forename: B
authors.initials: B
authors.lastname: Wang
authors.forename: E
authors.initials: E
authors.lastname: Abdalla
authors.forename: T
authors.initials: T
authors.lastname: Osada