English

Finite Tsallis Gravitational Partition Function for a System of Galaxies

General Relativity and Quantum Cosmology 2021-05-13 v1 High Energy Physics - Theory

Abstract

In this paper, we will study the large scale structure formation using the gravitational partition function. We will assertively argue that the system of gravitating galaxies can be analyzed using the Tsallis statistical mechanics. The divergences in the Tsallis gravitational partition function can be removed using the mathematical riches of the generalization of the dimensional regularization (GDR). The finite gravitational partition function thus obtained will be used to evaluate the thermodynamics of the system of galaxies and thus, to understand the clustering of galaxies in the universe. The correlation function which is believed to contain the information of clustering of galaxies will also be discussed in this formalism.

Keywords

Cite

@article{arxiv.2103.13824,
  title  = {Finite Tsallis Gravitational Partition Function for a System of Galaxies},
  author = {Mir Hameeda and Behnam Pourhassan and Mario C. Rocca and Mir Faizal},
  journal= {arXiv preprint arXiv:2103.13824},
  year   = {2021}
}

Comments

Accepted for publication in General Relativity and Gravitation

R2 v1 2026-06-24T00:33:11.261Z