The central region of a void: an analytical solution

ABSTRACT We offer an exact analytical equation for the void central region. show that density is solely determined by amplitude of initial perturbation. Our results suggest N-body simulations somewhat overestimate emptiness voids: majority them should have underdensity $\delta _\mathrm{ c} \gt -73{{\ \rm per\ cent}}$ , and there be almost no voids with \lt -88{{\ cent}}$. The region a part open Friedmann’s ‘universe’, its evolution differs drastically from Universe evolution: long stage when curvature term dominates prevents formation galaxy clusters massive galaxies inside voids. profile in centre very flat. discuss some models obtained ways to improve them. also dark energy makes less underdense.