Study of the large scale structure through modified gravity theory using statistical mechanics

TL;DR

This paper explores galaxy clustering in an expanding universe using a modified gravity theory based on thermodynamics, aiming to explain dark matter and dark energy effects without invoking them directly.

Contribution

It develops a modified general relativity framework with a new gravitational potential that accounts for dark matter and dark energy phenomena without explicitly including them.

Findings

The modified gravitational potential fits galaxy distribution data.

Thermodynamic equations of state are derived for galaxy clustering.

Model shows feasibility with SDSS-III survey data.

Abstract

We discuss the galaxy clustering based on thermodynamics and statistical mechanics in the expanding universe in a modified theory of gravity. The modified general relativity (MGR) is developed using the regular line element field to construct a symmetric tensor that represents the energy momentum of the gravitational field. This in turn provides a modified gravitational potential with terms that represent dark matter and dark energy effects without actually invoking the two. Based on the modified gravitational potential we calculate the distribution function of the galaxies. We also calculate various thermodynamic equations of state. We make a data analysis of the data obtained through the SDSS-III survey and check the feasibility of the theoretical model of probability distribution of galaxies in the universe.