Exploring the new Tsallis agegraphic dark energy with interaction through statefinder

Abstract

In this work, we explore the recently proposed new Tsallis agegraphic dark energy model in a flat FLRW Universe by taking the conformal time as IR cutoff with interaction. The deceleration parameter of the interacting new Tsallis agegraphic dark energy model provides the phase transition of the Universe from decelerated to accelerated phase. The EoS parameter of the model shows a rich behaviour as it can be quintessence-like or phantom-like depending on the interaction ($b^2$) and parameter $B$. The evolutionary trajectories of the statefinder parameters and $({\omega }_D,{\omega }_D^{{}^{\prime }})$ planes are plotted by considering the initial condition ${\Omega }_D^0=0.73$, $H_0=67$ according to $\Lambda$CDM observational Planck 2018 data for different $b^2$ and $B$. The model shows both quintessence and Chaplygin gas behaviour in the statefinder $(r,s)$ and $(r,q)$ pair planes for different $b^2$ and $B$.

arXiv comment19 pages, 14 figures

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