2007MNRAS.378.1601M

It has been recently claimed that there is no correlation between the distribution of galaxies and their peculiar velocities within the local volume (LV), namely a sphere of R = 7h^–1Mpc around the Local Group (LG). It has been then stated that this implies that either locally dark matter is not distributed in the same way as luminous matter or peculiar velocities are not due to fluctuations in mass. To test this statement, a set of constrained N-body cosmological simulations, designed to reproduce the main observed large-scale structure, have been analysed. The simulations were performed within the flat-Λ, open and flat matter only cold dark matter (CDM) cosmogonies. Two unconstrained simulations of the flat-Λ and open CDM models were performed for comparison. LG-like objects have been selected so as to mimic the real LG environment. The local gravitational field due to all haloes found within each LV is compared with the exact gravitational field induced by all matter in the simulation. We conclude that there is no correlation between the exact and local gravitational field obtained by pairwise Newtonian forces between haloes. Moreover, the local gravitational field is uncorrelated with the peculiar velocities of haloes. The exact gravitational field has a linear correlation with the peculiar velocities but the proportionality constant relating the velocity with gravitational field falls below the prediction of the linear theory. Upon considering all matter inside the LVs, the exact and local gravitational accelerations show a much better correlation, but with a considerable scatter independent of the cosmological models. The main conclusion is that the lack of correlation between the local gravitation and the peculiar velocity fields around LG-like objects is naturally expected in the CDM cosmologies.