Symmetries and Consistency Relations in the Large Scale Structure of the Universe

TL;DR

This paper explores the symmetries in Newtonian equations governing dark matter and gravity, deriving consistency relations for matter and galaxy correlations in large-scale universe structure.

Contribution

It identifies specific symmetries in the Newtonian framework and derives new consistency relations for correlators in large-scale structure.

Findings

Symmetries lead to constraints on correlation functions.

Derived consistency relations for matter and galaxy overdensities.

Insights into gravitational instability mechanisms.

Abstract

We study the symmetries enjoyed by the Newtonian equations of motion of the non-relativistic dark matter fluid coupled to gravity which give rise to the phenomenon of gravitational instability. We also discuss some consistency relations involving the soft limit of the (n + 1)-correlator functions of matter and galaxy overdensities.