Correlation functions for extended mass galaxy clusters

TL;DR

This paper investigates galaxy clustering in an expanding universe by deriving correlation functions that account for extended galaxy masses, offering new insights into gravitational clustering phenomena.

Contribution

It develops and solves a differential equation for correlation functions considering extended galaxy masses, advancing understanding of galaxy clustering in cosmology.

Findings

Correlation functions satisfy boundary conditions for extended structures.

Provides a new analytical approach to gravitational clustering.

Enhances understanding of galaxy clustering dynamics.

Abstract

The phenomenon of clustering of galaxies on the basis of correlation functions in an expanding Universe is studied by using equation of state, taking gravitational interaction between galaxies of extended nature into consideration. The partial differential equation for the extended mass structures of a two-point correlation function developed earlier by Iqbal, Ahmad and Khan is studied on the basis of assigned boundary conditions. The solution for the correlation function for extended structures satisfies the basic boundary conditions, which seem to be sufficient for understanding the phenomena, and provides a new insight into the gravitational clustering problem for extended mass structures.