On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions

Details On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions

2004-07-23

arxiv.org/abs/astro-ph/0407513v3

Mon.Not.Roy.Astron.Soc.368:1132-1144,2006

Astronomy and Astrophysics

Astrophysics

14 pages, 7 figures, MNRAS in press

Scientific paper

10.1111/j.1365-2966.2006.10202.x

We present a general analytical procedure for computing the number density of voids with radius above a given value within the context of gravitational formation of the large scale structure of the universe out of Gaussian initial conditions. To this end we develop an accurate (under generally satisfied conditions) extension of unconditional mass function to constrained environments, which allowes us both to obtain the number density of collapsed objects of certain mass at any distance from the center of the void, and to derive the number density of voids defined by those collapsed objects. We have made detailed calculations for the spherically averaged mass density and halo number density profiles for individual voids. We also present a formal expression for the number density of voids defined by galaxies of a given type and luminosity. This expression contains the probability for a collapsed object of certain mass to host a galaxy of that type and luminosity as a function of the environmental density. We propose a procedure to infer this function, which may provide useful clues as to the galaxy formation process, from the observed void densities.

Affiliated with

Also associated with

No associations

Rating

On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On an Analytical Framework for Voids: Their abundances, density profiles and local mass functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-245959