Exploring the new Tsallis agegraphic dark energy with interaction through statefinder

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(7)(D)) planes are plotted by considering the initial condition Omega(0)(D) = 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.

Automated summary

The study investigates the interaction of the newly proposed Tsallis agegraphic dark energy model in a flat FLRW Universe, showing a phase transition from decelerated to accelerated phase and diverse behavior in the EoS parameter depending on the interaction. The evolutionary trajectories and planes of statefinder parameters reveal quintessence and Chaplygin gas behavior for different interaction parameters.