Two approaches that prove divergence free nature of non-local gravity

TL;DR

This paper investigates the thermodynamics of large-scale structure formation in non-local gravity using Boltzmann and Tsallis statistics, demonstrating divergence-free integrals that support non-local gravity as a singularity-free model.

Contribution

It introduces two approaches to analyze the thermodynamics of non-local gravity and shows they yield divergence-free integrals, emphasizing the model's singularity-free nature.

Findings

Divergence-free integrals obtained in both approaches

Non-local gravity shown to be a singularity-free model

Thermodynamics properties derived using Boltzmann and Tsallis statistics

Abstract

This paper is an attempt to study the thermodynamics of the structure formation in the large scale universe in the non local gravity using Boltzmann statistics and the Tsallis statistics. The partition function is obtained in both the approaches and the corresponding thermodynamics properties are evaluated. The important thing about the paper is that we surprisingly get the divergence free integrals and thus stress upon the fact that the nonlocal gravity is the singularity free model of gravity.