Amended FRW Metric and Rényi Dark Energy Model

Sarfraz Ali,Hamid Reza Moradi,Sabir Iqbal,Khuram Ali Khan,Theophanes Grammenos

doi:10.1155/2021/9704909

Abstract

This article is devoted to exploring the Rényi holographic dark energy model in the theory of Chern-Simons modified gravity. We studied the deceleration parameter, equation of state, and cosmological plane considering the Amended FRW modal. Modified field equations of -gravity theory gave two independent solutions. In the first case, this model provided the transitional change from deceleration to acceleration compatible with collected observational data. However, it supported a decelerating phase of expansion only in the second case. It was noted that the Equation of State advocated the dominance era under the influence of dark energy in the first case and the second predicted the influence of Λ CDM. In both cases, ω < 0 , ω ′ < 0 voted that the universe is in a freezing region and its cosmic expansion is more rapidly accelerated in the background of Chern-Simons modified gravity.

Highlights

Among the biggest challenges faced by cosmological communities, one is the authentic solution to the current accelerated expansion of the universe
The graphical representation ω < 0, ω′ < 0 advocated that the Rényi holographic dark energy (HDE) model is in freezing region and cosmic expansion is more accelerating in the context of ChernSimons modified gravity (CSMG) theory
Ω < 0, ω′ < 0 indicated that the Rényi HDE model is in freezing region and cosmic expansion will be more accelerating in the context of CSMG theory

Summary

Introduction

Among the biggest challenges faced by cosmological communities, one is the authentic solution to the current accelerated expansion of the universe. The collected observational data [1,2,3] prodded the quest for hypothetical models to clarify the expansion issues These models that drive this acceleration is an intriguing, nonglowing, negative pressure medium, and it contributes roughly two-thirds of the energy contents of the present universe. Some models like Tsallis, Rényi, and Sharma-Mittal entropies have been investigated by Younus et al [31], and they concluded the quintessencelike nature of the universe. On these inspirations, we worked on the Rényi HDE utilizing the Amended FRW metric in the context of CSMG theory.

Formalism of Chern-Simons Modified Gravity

Amended FRW Model in CS Modified Gravity

Rényi HDE Model

Conclusions