Modified Theory of Gravity and Clustering of Multi-Component System of Galaxies

Abstract

In this paper, we analyze the clustering of galaxies using a modified theory of gravity, in which the field content of general relativity has been be increased. This increasing in the field content of general relativity changes the large distance behavior of the theory, and in weak field approximation, it will also modify the large distance behavior of Newtonian potential. So, we will analyzing the clustering of multi-component system of galaxies interacting through this modified Newtonian potential. We will obtain the partition function for this multi-component system, and study the thermodynamics of this system. So, we will analyze the effects of the large distance modification to the Newtonian potential on Helmholtz free energy, internal energy, entropy, pressure and chemical potential of this system. We obtain also the modified distribution function and the modified clustering parameter for this system, and hence observe the effect of large distance modification of Newtonian potential on clustering of galaxies.

arXiv commentPublished by EPJC including 5 figures

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• Gravitational partition function modified by super-light brane world perturbative modes
• Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies
• Time dependent dark energy and the thermodynamics of many-body systems
• Study of the large scale structure through modified gravity theory using statistical mechanics
• Statistical description of galaxy clusters in Finzi model of gravity