1 Natural History Museum of Denmark, Faculty of Science, Københavns Universitet2 Universidad Autonoma de Madrid3 Astrophysics and Planetary Science, The Niels Bohr Institute, Faculty of Science, Københavns Universitet4 Universidad Autonoma de Madrid5 Astrophysics and Planetary Science, The Niels Bohr Institute, Faculty of Science, Københavns Universitet
We study the non-linear gravitational collapse of dark matter into halos through numerical N-body simulations of Lemaitre-Tolman-Bondi void models. We extend the halo mass function formalism to these models in a consistent way. This extension not only compares well with the simulated data at all times and radii, but it also gives interesting clues about the impact of the background shear on the growth of perturbations. Our results give hints about the possibility of constraining the background shear via cluster number counts, which could then give rise to strong constraints on general inhomogeneous models, of any scale.
Physics of the Dark Universe, 2012, Vol 1, Issue 1-2, p. 24-31