The Zeldovich & Adhesion approximations, and applications to the local universe

TL;DR

This paper introduces a new method to analyze the cosmic web's structure using the Zeldovich approximation and adhesion model, focusing on singularities in the primordial deformation tensor to predict filament formation and applying these techniques to the local universe.

Contribution

It presents a novel approach to identify the cosmic web skeleton through singularities in the deformation tensor and demonstrates applications to local universe structures.

Findings

A_3-lines predict filament formation in 2D models

New method for skeleton extraction based on singularities

Application to local universe structures

Abstract

The Zeldovich approximation (ZA) predicts the formation of a web of singularities. While these singularities may only exist in the most formal interpretation of the ZA, they provide a powerful tool for the analysis of initial conditions. We present a novel method to find the skeleton of the resulting cosmic web based on singularities in the primordial deformation tensor and its higher order derivatives. We show that the A_3-lines predict the formation of filaments in a two-dimensional model. We continue with applications of the adhesion model to visualise structures in the local (z < 0.03) universe.