A Cosmological Study in Massive Gravity theory

TL;DR

This paper explores the cosmological implications of massive gravity theory, analyzing its potential to explain cosmic acceleration, its equivalence to Einstein gravity with modifications, and the viability of emergent scenarios through detailed theoretical and cosmographic analysis.

Contribution

It provides a comprehensive analysis of cosmological aspects in massive gravity, including deceleration-acceleration transition, equivalence to Einstein gravity with modifications, and emergent scenario feasibility.

Findings

Massive gravity can mimic Einstein gravity with a modified gravitational constant and negative cosmological constant.

The study finds conditions under which the universe transitions from deceleration to acceleration.

Cosmographic analysis supports the viability of massive gravity models in explaining cosmic evolution.

Abstract

A detailed study of the various cosmological aspects in massive gravity theory has been presented in the present work. For the homogeneous and isotropic FLRW model, the deceleration parameter has been evaluated, and, it has been examined whether there is any transition from deceleration to acceleration in recent past, or not. With the proper choice of the free parameters, it has been shown that the massive gravity theory is equivalent to Einstein gravity with a modified Newtonian gravitational constant together with a negative cosmological constant. Also, in this context, it has been examined whether the emergent scenario is possible, or not, in massive gravity theory. Finally, we have done a cosmographic analysis in massive gravity theory.