Statistical description of galactic clusters in Finzi gravity model

Abstract

We exploit a new theory of gravity proposed by Finzi, which gives stronger interaction at large scales, to study the thermodynamic description of galaxy clusters. We employ a statistical model to deduce various thermodynamics equations of state. In addition, we analyze the behavior of clustering parameter in comparison to its standard (Newtonian) counterpart. The general distribution function and its behavior with varying strength of clustering parameter are also studied. The possibility of phase transition is also investigated and observed that a phase transition is possible though hierarchically.

A simplistic approach to the study of two-point correlation function in galaxy clusters

“…The implications of these ideas are also consistent with observations. The statistical mechanical study of the structure formation and distribution in the universe has been studied rigorously in [5][6][7][8][9][10]. The authors have employed various modified gravity theories to study the effects of these modifications on the statistical properties of large scale structures in the universe.…”

Study of the Large Scale Structure Through Modified Gravity Theory Using Statistical Mechanics

“…The statistical method can be emplyed to study the mass distribution on the largest possible scale [9]. In recent past there has been a tremendous effort to study the effect of modified gravity theories on the galaxy clustering through statistical and thermodynamic methods [10][11][12][13][14][15][16][17][18][19][20][21][22]. It has been observed that the modified theories of gravity does affect the clustering process through a change in a parameter that is related to the strength of correlation called clustering parameter, originally defined as the ratio of Kinetic to potential energy, b = K/2W .…”