ON FRACTAL COSMOLOGY

A non-homogeneous cosmological model which represents a fractal distri bution of matter is given. For relatively short time the fractal distr ibution is obvious. As time increases it tends to the k = 0 Robertson- Walker metric. Thus it agrees with the known results of gravitational red shift, Hubble's law etc. It also agrees with the recent findings o f Coleman et al. that the universe has a kind of fractal symmetry. Our model is a special choice of Tolman's solutions. It is shown that it solves the particle horizon problem.