An extension of spherically symmetric self-similar inhomogeneous cosmological models

An inhomogeneous cosmological solution with partial similarity is derived by extending the self-similar solutions in spherically symmetric spacetime containing pressureless matter. To show their physical difference from the previous self-similar one, we consider inhomogeneous cosmological models with inner and outer homogeneous regions and an intermediate inhomogeneous region, and derive the relations between observational quantities in them. It is found as a result that the models have different z-dependence of the local density parameter.