Effect of nonfactorizable background geometry on thermodynamics of clustering of galaxies

Abstract

We study the effect of nonfactorizable background geometry on the thermodynamics of the clustering of galaxies. A canonical partition function is derived for the gravitating system of galaxies treated as point particles contained in cells of appropriate dimensions. Various thermodynamic equations of state, like Helmholtz free energy and entropy, among others, are also obtained. We also estimate the effect of the corrected Newton law on the distribution function of galaxies. Remarkably, the effect of the modified Newton law is seen only in the clustering parameter while the standard structure of the equations is preserved. A comparison of the modified clustering parameter with that of the original clustering parameter is made to visualize the effect of the correction on the time scale of clustering. The possibility of system symmetry breaking is also analyzed by investigating the behavior of the specific heat with increasing system temperature.

17 pages, 8 figures

References in corpus (6)

• Clustering of Galaxies with f(R) gravity
• Effects of Cosmological Constant on Clustering of Galaxies
• Thermodynamics and galactic clustering with a modified gravitational potential
• Modified Theory of Gravity and Clustering of Multi-Component System of Galaxies
• Galactic Clustering Under Power-law Modified Newtonian Potential
• Thermodynamics of galaxy clusters in modified Newtonian potential

Cited by in corpus (2)

• Study of the large scale structure through modified gravity theory using statistical mechanics
• Statistical description of galaxy clusters in Finzi model of gravity