Statefinder diagnosis for interacting Tsallis holographic dark energy models with [formula omitted] pair

Abstract

A new model of dark energy, named as Tsallis holographic dark energy (THDE), infrared cut-off with the Hubble horizon has been proposed by Tavayef (2018). Then, in arXiv:1806.07285, it has been expanded considering the interaction between THDE and pressure less dark matter. In this work, we explore the THDE model admitting the mutual interaction between dark matter and dark energy, from the statefinder perspective. In the statefinder parameters-diagram, the evolutionary trajectories of the interacting THDE have been plotted for different cases of interaction and also for different intervals of the Tsallis non-additive parameter δ. The discrimination of the interacting and non-interacting. THDE model is described by the state finder analysis. Subsequently, the statefinder graph shows the effect of the interaction on the universe evolution. In addition, we examined the THDE model with interaction as a supplement to the statefinder analysis in the ω′−ω plane, which may furnish us with a dynamic analysis.