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

TL;DR

This paper investigates the New Tsallis Agegraphic Dark Energy model's behavior in a flat universe, analyzing its evolution, phase transition, and distinguishing features from the standard cosmological model using statefinder diagnostics.

Contribution

It introduces a detailed analysis of the NTADE model's cosmological dynamics and diagnostic tools, highlighting its unique evolutionary trajectories and phase transition characteristics.

Findings

NTADE model exhibits a transition from decelerated to accelerated expansion.

The EoS parameter can be quintessence-like or phantom-like depending on $elta$.

Distinct trajectories in ($r,s$) and ($r,q$) planes differentiate NTADE from $mbda$CDM.

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.