On the definition of superclusters
Gayoung Chon, Hans Boehringer, Saleem Zaroubi

TL;DR
This paper refines the definition of superclusters by proposing criteria based on overdensity and infall velocity, predicting their future evolution and introducing the term 'superstes-clusters' for those that will collapse.
Contribution
It provides numerical criteria for supercluster collapse in various cosmological models and applies them to real structures to predict their future.
Findings
Local and Shapley superclusters' cores will collapse, outer regions will not.
Laniakea supercluster will disperse and not collapse.
Proposes the term 'superstes-clusters' for future-collapsing superclusters.
Abstract
To obtain a physically well-motivated definition of superclusters, we proposed in our previous work to select superclusters with an overdensity criterion that selects only those objects that will collapse in the future, including those that are at a turn-around in the present epoch. In this paper we present numerical values for these criteria for a range of standard cosmological models. We express these criteria in terms of a density ratio or, alternatively, as an infall velocity and show that these two criteria give almost identical results. To better illustrate the implications of this definition, we applied our criteria to some prominent structures in the local Universe, the Local supercluster, Shapley supercluster, and the recently reported Laniakea supercluster to understand their future evolution. We find that for the Local and Shapley superclusters, only the central regions will…
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