Effects of Cosmological Constant on Clustering of Galaxies

TL;DR

This paper investigates how the cosmological constant influences galaxy clustering by deriving thermodynamic properties of an expanding universe system, highlighting the corrections introduced by the cosmological constant.

Contribution

It introduces a method to incorporate the cosmological constant into the thermodynamics of galaxy clustering, providing new insights into its effects on cosmic structure formation.

Findings

Thermodynamic quantities depend on the modified clustering parameter.

The cosmological constant causes corrections to Helmholtz free energy, entropy, and other thermodynamic properties.

The analysis shows the universe's expansion impacts galaxy clustering thermodynamics.

Abstract

In this paper, we analyse the effect of the expansion of the universe on the clustering of galaxies. We evaluate the configurational integral for interacting system of galaxies in an expanding universe by including effects produced by the cosmological constant. The gravitational partition function is obtained using this configuration integral. Thermodynamic quantities, specifically, Helmholtz free energy, entropy, internal energy, pressure and chemical potential are also derived for this system. It is observed that they depend on the modified clustering parameter for this system of galaxies. It is also demonstrated that these thermodynamical quantities get corrected because of the cosmological constant.