Effects of Anisotropy on the Sign-Changeable Interacting Tsallis Holographic Dark Energy

Abstract: A spatially homogeneous and anisotropic Bianchi type I universe is considered while it is filled by pressureless dark matter (DM) and Tsallis holographic dark energy (DE) interacting with each other throughout a sign-changeable mutual interaction. Various infra-red (IR) cutoffs are studied, and it has been obtained that while the current universe can classically be stable for some cases, all models display classical instability by themselves at the future ($z\rightarrow-1$). Moreover, we find out that some models can cross the phantom line. In order to have a more comprehensive study, the statefinder diagnostic and the $\omega_D-{\omega}^{\prime}_{D}$ plane are also investigated showing that the model parameters significantly affect the evolution trajectories in the $r-s$ and $\omega_D-{\omega}^{\prime}_{D}$ planes.