Stability analysis of the Tsallis holographic dark energy model

Understand

Using the generalized Tsallis entropy, the Tsallis holographic dark energy(THDE) was proposed recently.

• In this paper we analyze the cosmological consequences of the THDE model with an interaction between dark energy and dark matter $Q=H(\alpha\rho_{m}+\beta\rho_{D})$.
• We find that the THDE model can explain the current accelerated cosmic expansion, and it is stable under certain conditions.
• Furthermore, through investigating the dynamical analysis, we find that there exists an attractor which represents an accelerated expansion phase of the universe.