Effects of Cosmological Constant on Clustering of Galaxies

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.

6 pages, 1 figure, Published in MNRAS

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• Two approaches that prove divergence free nature of non-local gravity
• Galactic Clustering Under Power-law Modified Newtonian Potential
• Logarithmic corrections to Newtonian gravity and Large Scale Structure
• Thermodynamics of galaxy clusters in modified Newtonian potential
• Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies
• Gravitational partition function modified by super-light brane world perturbative modes
• Study of the large scale structure through modified gravity theory using statistical mechanics
• Modified Yang-Lee theory for nonlocal gravitational potential and their phase transition
• Statistical description of galaxy clusters in Finzi model of gravity