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Characterizing cluster morphology using vector-valued Minkowski functionals

Claus Beisbart·Thomas Buchert
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Abstract

The morphology of galaxy clusters is quantified using Minkowski functionals, especially the vector-valued ones, which contain directional information and are related to curvature centroids. The asymmetry of clusters and the amount of their substructure can be characterized in a unique way using these measures. -- We briefly introduce vector-valued Minkowski functionals (also known as Quermaßvectors) and suggest their application to cluster data in terms of a morphological characterization of excursion sets. Furthermore, we develop robust structure functions which describe the dynamical state of a cluster and study the evolution of clusters using numerical simulations.

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Claus Beisbart, Thomas Buchert. 1997-11-04. Characterizing cluster morphology using vector-valued Minkowski functionals. https://arxiv.org/abs/astro-ph/9711034

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