Effective Dark Matter Halo catalog in $f(R)$ gravity
Jian-hua He (INAF-Milan), Adam J. Hawken (INAF-Milan), Baojiu Li (ICC,, Durham), Luigi Guzzo (INAF-Milan)

TL;DR
This paper introduces an effective dark matter halo catalog in $f(R)$ gravity, which closely resembles the $ abla$CDM model in properties, simplifying the study of galaxy formation and baryonic physics in modified gravity.
Contribution
The paper presents a novel effective halo catalog in $f(R)$ gravity that mimics $ abla$CDM properties, facilitating easier analysis of galaxy formation in such models.
Findings
Effective halos in $f(R)$ gravity match $ abla$CDM halo properties.
The effective catalog enables studying baryonic physics in $f(R)$ models.
$f(R)$ models can be approximated as $ abla$CDM using effective halos.
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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