Statefinder diagnosis of Tsallis holographic dark energy model in f(R, T) Theory

Abstract

In this study, Tsallis Holographic Dark Energy (THDE) was studied in the framework of $f(R, T)$ gravitational theory by taking into consideration the homogeneous and anisotropic Bianchi-I spacetime. The Hubble horizon was chosen as $IR$ cutoff of the system. To obtain solutions of field equations, THDE density and a form of Hubble parameter were used. Additionally, various physical parameters such as energy of state parameter, deceleration parameter and scale factor have been discussed. The characteristics and parameters of the model have been also examined by plotting their evolution graphics. Furthermore, statefinder parameters, which are effective tools for separating dark energy models, have been explored. By the illustration of trajectory in $r-s$ plane, it is found that this model behaves like Chaplygin gas at initial stage, then ranging in quintessence region it finally approaches to $\Lambda$ Cold Dark Matter. Lastly, from the evolutions of $r-q$ and $s-q$ planes it is seen that the model evolves to the De Sitter expansion point.