Non-Spherical Newtonian Collapse: a Set of Exact Nonlinear Closed-Form Solutions

TL;DR

This paper presents a set of exact nonlinear solutions for non-spherical pressure-less matter collapse in Newtonian gravity, with potential applications in cosmology, advancing understanding of large-scale cosmic structure formation.

Contribution

It introduces new exact nonlinear closed-form solutions for non-spherical collapse, expanding analytical tools in Newtonian cosmology.

Findings

Solutions describe non-spherical collapse dynamics

Potential applications in modeling cosmic structures

Enhances analytical understanding of gravitational collapse

Abstract

We give a set of exact nonlinear closed--form solutions for the non-spherical collapse of pressure-less matter in Newtonian gravity, and indicate their possible cosmological applications. Keywords: Newtonian gravitation: free collapse, large-scale cosmic structures