Evolution of Cosmic Voids in the Schrodinger-Poisson Formalism

TL;DR

This paper explores the evolution of cosmic voids using the Schrödinger-Poisson formalism, comparing it to traditional methods and highlighting its advantages for modeling large-scale cosmic structures.

Contribution

It introduces a wave mechanical approach to cosmic void evolution, demonstrating its benefits over existing models like the Zel'dovich approximation.

Findings

Wave solutions for void dynamics in cosmology

Comparison showing advantages over Zel'dovich approximation

Introduction of a scaling dimensionless number similar to Reynolds number

Abstract

We investigate the evolution of cosmic voids in the Schrodinger Poisson formalism, finding wave mechanical solutions for the dynamics in a standard cosmological background with appropriate boundary conditions. We compare the results in this model to those obtained using the Zel'dovich approximation. We discuss the advantages of studying voids in general and the advantages of the Schrodinger Poisson description over other approaches. In particular, emphasizing the utility of the free particle approximation. We also discuss a dimensionless number, similar to the Reynolds number, for this system which allows our void solutions to be scaled to systems of different physical dimensions.