The cosmological behaviour and the statefinder diagnosis for the New Tsallis agegraphic dark energy

Abstract

In this work, we have considered the recently proposed new Tsallis Agegraphic Dark Energy model (NTADE) (Mod. Phys. Lett. A 34, 1950086, 2019) within the framework of a flat Friedmann-Robertson-Walker(FRW) Universe by taking various values of the parameter $\delta$. The NTADE model shows the current phase transition of the Universe from decelerated to accelerated phase. The NTADE EoS parameter shows a rich behaviour as it can be quintessence-like or phantom-like depending on the value of $\delta$. For discriminating the NTADE model from $\Lambda$CDM, we have plotted the statefinder parameters $r(z)$, $s(z)$ and $(r, s)$, $(r, q)$ pair. The NTADE model shows distinct evolutionary trajectories of their evolution in ($ r, s$) and ($ r, q$) plane. An analysis using the snap parameter and the $\omega_{D}-\omega_{D}^{'}$ pair dynamical analysis have also been performed.