Clustering of Galaxies in Brane World Models

Abstract

In this paper, we analyze the clustering of galaxies using a modified Newtonian potential. This modification of the Newtonian potential occurs due to the existence of extra dimensions in brane world models. We will analyze a system of galaxies interacting with each other through this modified Newtonian potential. The partition function for this system of galaxies will be calculated, and this partition function will be used to calculate the free energy of this system of galaxies. The entropy and the chemical potential for this system will also be calculated. We will derive explicit expression for the clustering parameter for this system. This parameter will determine the behavior of this system, and we will be able to express various thermodynamic quantities using this clustering parameter. Thus, we will be able to explicitly analyze the effect that modifying the Newtonian potential can have on the clustering of galaxies. We also analyze the effect of extra dimensions on the two-point functions between galaxies.

12 pages, revtex4, 2 figures, To appear in General Relativity and Gravitation

References in corpus (5)

• Modified f(R) gravity unifying R^m inflation with \LambdaCDM epoch
• Rotational Velocity Curves in the Milky Way as a Test of Modified Gravity
• Brane world corrections to Newton's law
• On the stability of a galactic disk in modified gravity
• On Noncommutative Effects in Entropic Gravity

Cited by in corpus (11)

• Clustering of Galaxies with f(R) gravity
• Effects of Cosmological Constant on Clustering of Galaxies
• Clustering of Galaxies with Dynamical Dark Energy
• Large Distance Modification of Newtonian Potential and Structure Formation in Universe
• Modified Theory of Gravity and Clustering of Multi-Component System of Galaxies
• Thermodynamics and phase transitions of galactic clustering in higher-order Modified Gravity
• Finite Tsallis Gravitational Partition Function for a System of Galaxies
• Two approaches that prove divergence free nature of non-local gravity
• The large scale structure formation in an expanding universe
• Gravitational partition function modified by super-light brane world perturbative modes
• Time dependent dark energy and the thermodynamics of many-body systems