Abstract
We introduce the idea of {\it effective} dark matter halo catalog in gravity, which is built using the {\it effective} density field. Using a suite of high resolution N-body simulations, we find that the dynamical properties of halos, such as the distribution of density, velocity dispersion, specific angular momentum and spin, in the effective catalog of gravity closely mimic those in the CDM model. Thus, when using effective halos, an model can be viewed as a CDM model. This effective catalog therefore provides a convenient way for studying the baryonic physics, the galaxy halo occupation distribution and even semi-analytical galaxy formation in cosmologies.
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