Cosmic voids detection without density measurements
Andrii Elyiv, Federico Marulli, Giorgia Pollina, Marco Baldi, Enzo, Branchini, Andrea Cimatti, Lauro Moscardini

TL;DR
This paper introduces two novel dynamical methods for detecting cosmic voids that reduce shot noise effects, improve the accuracy of void identification, and enhance their utility as cosmological probes.
Contribution
The authors develop two new void finders based on dynamical criteria, utilizing the Zel'dovich approximation and galaxy correlation functions, which outperform traditional density-based methods.
Findings
Void divergence profiles are less scattered than density profiles.
The divergence signal in void centers is 60% more significant than overdensity profiles.
Stacked void ellipticity in divergence field is closer to unity, indicating more spherical shapes.
Abstract
Cosmic voids are effective cosmological probes to discriminate among competing world models. Their identification is generally based on density or geometry criteria that, because of their very nature, are prone to shot noise. We propose two void finders that are based on dynamical criterion to select voids in Lagrangian coordinates and minimise the impact of sparse sampling. The first approach exploits the Zel'dovich approximation to trace back in time the orbits of galaxies located in voids and their surroundings, the second uses the observed galaxy-galaxy correlation function to relax the objects' spatial distribution to homogeneity and isotropy. In both cases voids are defined as regions of the negative velocity divergence, that can be regarded as sinks of the back-in-time streamlines of the mass tracers. To assess the performance of our methods we used a dark matter halo mock…
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