Testing Different Models of Dark Matter Distribution in Galaxies

Abstract

Different numerical and analytical models of dark matter (DM) give divergent predictions about the behavior of the density of DM in the centers of galaxies. In the present work a comparison of the three model distribution of DM (NFW, Moore and Burkert) with varying degrees of singularity in the center, or without it, is carried out for four low surface brightness galaxies. Contrary to the claims in the literature, the results of fitting the observed rotation curves do not allow one to speak of the unique preference for any one of the models. For two of the four galaxies the highest levels of significance has the NFW model, and for the other two – the Burkert model. Simulation is carried out also taking into account the criteria of marginal gravitational stability of galactic disks. A comparison with the photometric data shows that the disks of galaxies under consideration, are perhaps overheated, because modeling without this criterion gives better agreement with the photometric data and better values of the chi-square test for rotation curves