Mass function of gravitationally bounded objects in the inhomogeneous Universe

Abstract

We modify the Press-Schechter formalism to calculate the mass function of gravitationally bounded objects in a local Universe with size $L>10h^{-1}$Mpc, i.e. separately in voids (${\Omega }_{m,L}<{\Omega }_m$) and superclusters (${\Omega }_{m,L}>{\Omega }_m$). The dependence of the abundance of gravitationally bounded objects on local matter density is analyzed.

6 pages, 3 figures, proceedings of the 6rd International Conference on Cosmoparticle Physics "Cosmion-2001", oral report