Formation of Galaxy Clusters
Andrey Kravtsov, Stefano Borgani

TL;DR
This review synthesizes current knowledge on galaxy cluster formation, covering theoretical models, simulations, and observational proxies, while discussing uncertainties and testing alternative cosmological models.
Contribution
It provides a comprehensive overview of cluster formation theories, highlights areas of prediction accuracy and uncertainty, and explores testing non-standard cosmological models with large surveys.
Findings
Structural properties of dark matter halos are well-predicted by models.
Regular thermal behavior in the intra-cluster plasma enables robust mass proxies.
Non-standard cosmological models can be tested with upcoming large cluster surveys.
Abstract
In this review, we describe our current understanding of cluster formation: from the general picture of collapse from initial density fluctuations in an expanding Universe to detailed simulations of cluster formation including the effects of galaxy formation. We outline both the areas in which highly accurate predictions of theoretical models can be obtained and areas where predictions are uncertain due to uncertain physics of galaxy formation and feedback. The former includes the description of the structural properties of the dark matter halos hosting cluster, their mass function and clustering properties. Their study provides a foundation for cosmological applications of clusters and for testing the fundamental assumptions of the standard model of structure formation. The latter includes the description of the total gas and stellar fractions, the thermodynamical and non-thermal…
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