Gravitational partition function modified by superlight braneworld perturbative modes

Abstract

In this paper, we will analyze the effects of super-light brane world perturbative modes on clustering of galaxies. In present manuscript, we use the Boltzmann and Tsallis statistical approaches to study the large distance modification of gravity in the brane world. The impact of modified potential on clustering of galaxies is analyzed in both the approaches. The infinities associated with Newtonian point mass approximation of gravity models is removed using the analytical extensions. The regularized and finite partition function is obtained for the system of galaxies in the brane world model and is used to evaluate the regularized thermodynamic properties of the system in the form of equations of state. Hence, we study thermodynamic quantities and discuss about the thermodynamic stability of the model. We find that large number of galaxies may lead to the thermodynamic instability. The appealing feature of the paper revolve around the generalization of the dimensional regularization (GDR) of Bollini and Giambiagi supplemented with the statistical adequacy of Boltzmann and Tsallis.

Thermodynamics of galaxy clusters in modified Newtonian potential

“…The changes to the gravity law have prompted the study of the statistical and thermodynamic properties of galaxy clusters in light of the modified potentials [5][6][7][8][9]. For instance, the effect of quantum correction on the thermodynamics of galaxy clusters was studied in [10] and the effect of power-law modification to Newtonian potential on the spatial distribution function has been studied in [11].…”

Study of the Universe populated by Clusters of Galaxies with halo using Newtonian Gravity modified by Tohline.

“…This difficulty can be circumvented by using a combination of 1) the convolution theory of ultrahyperfunctions [5,6,7,8,9] and 2) the Guelfand regularization method [10]. This combination has been used successfully in the references [11,12,13,14,15,16,17,18,19,21,22,23,24,25,26,27,28,29,30] 2 Three-dimensional Partition Function…”