Clustering of Galaxies in Brane World Models

TL;DR

This paper investigates how extra dimensions in brane world models modify the Newtonian potential and affect galaxy clustering, providing a thermodynamic analysis and explicit expressions for clustering behavior.

Contribution

It introduces a modified Newtonian potential due to extra dimensions and derives explicit thermodynamic and clustering parameters for galaxy systems in brane world models.

Findings

Modified potential influences galaxy clustering behavior.

Explicit clustering parameter derived for brane world models.

Extra dimensions affect two-point correlation functions.

Abstract

In this paper, we analyze the clustering of galaxies using a modified Newtonian potential. This modification of the Newtonian potential occurs due to the existence of extra dimensions in brane world models. We will analyze a system of galaxies interacting with each other through this modified Newtonian potential. The partition function for this system of galaxies will be calculated, and this partition function will be used to calculate the free energy of this system of galaxies. The entropy and the chemical potential for this system will also be calculated. We will derive explicit expression for the clustering parameter for this system. This parameter will determine the behavior of this system, and we will be able to express various thermodynamic quantities using this clustering parameter. Thus, we will be able to explicitly analyze the effect that modifying the Newtonian potential can have on the clustering of galaxies. We also analyze the effect of extra dimensions on the two-point functions between galaxies.