New Tsallis agegraphic Dark Energy in Fractal cosmology

TL;DR

This paper explores the new Tsallis agegraphic dark energy model within fractal cosmology, analyzing its cosmic implications, stability, and acceleration behavior, revealing a quintessence-like universe with instability in certain parameters.

Contribution

It introduces and investigates the Tsallis agegraphic dark energy model in fractal cosmology, including stability and cosmic acceleration analyses.

Findings

Universe exhibits quintessence-like behavior in both scenarios

Model is found to be unstable under certain parameters

Cosmic expansion is more accelerating in fractal spacetime

Abstract

In this paper, we study the new Tsallis agegraghic dark energy model in the context of fractal cosmology. The different cosmic implications such as statefinder diagnosis, cosmological plane and squared of sound speed in both interacting and non-interacting scenarios are investigated. The study shows that the equation of state (EoS) parameter gives quintessence-like nature of Universe in both interacting and non-interacting cases. The results of the stability analysis for the distinct estimations of the nonadditive parameter $\delta$ and coupling constant $b^2$ indicate that this model is unstable. Moreover, $\omega_D-{\omega}^{\prime}_{D}$ plane is in the freezing region in other words, cosmic expansion is more accelerating in the framework of fractal spacetime.