Galactic Clustering Under Power-law Modified Newtonian Potential

TL;DR

This paper investigates galaxy clustering using a modified gravitational potential that includes power-law and cosmological constant terms, deriving thermodynamic properties and analyzing the impact of these modifications on clustering behavior.

Contribution

It introduces a new approach to galaxy clustering analysis by incorporating a modified gravitational potential and deriving associated thermodynamic equations.

Findings

Modifications affect thermodynamic quantities through the clustering parameter.

Derived a canonical partition function for galaxies under the modified potential.

Compared effects of potential modifications on thermodynamics and clustering.

Abstract

We estimate galaxy clustering under a modified gravitational potential. In particular, the modifications in gravitational potential energy occur due to a power-law and cosmological constant terms. We derive a canonical partition function for the system of galaxies interacting under such a modified gravitational potential. Moreover, we compute various thermodynamical equation of states for the system. We do comparative analysis in order to emphasize the effect of corrections on thermodynamics of the system. Interestingly, the modifications in thermodynamical quantities are embedded in clustering parameter only.