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

## TL;DR

This paper investigates how anisotropy influences the behavior and stability of Tsallis holographic dark energy models with sign-changeable interactions in a Bianchi type I universe, revealing conditions for stability, phantom crossing, and parameter effects.

## Contribution

It introduces a detailed analysis of anisotropic effects on Tsallis holographic dark energy with sign-changeable interactions, including stability, phantom crossing, and diagnostic plane behaviors.

## Key findings

- Current universe can be classically stable in some models
- All models show classical instability at future ($z
ightarrow-1$)
- Some models can cross the phantom line

## 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.