The large-scale structure of the universe and the division of space

Abstract

In this paper we calculate structures which result from the overlapping of shells produced by explosions or negative density perturbations using three-dimensional Voronoi tessellation and make a comparison with the real structure. This model can reproduce the observed bubble-like structure on large scales. Two-point correlation function of mass distribution after overlapping shows a power-law form, though its power index is considerably smaller than the observed value. This suggests the importance of the gravitational clustering process such as concentration of matter on the walls into filaments and nodes. The two-point correlation function of nodes where shells collide shows a power-law form whose slope is ~-2. This is nearly the same as the observed value. In addition, we discuss the relation between the structure and its fractal nature.