Evolution of perturbations in the model of Tsallis holographic dark energy

TL;DR

This paper studies how metric and density perturbations evolve in a Tsallis holographic dark energy model, revealing that perturbations tend to freeze or vanish over time, especially when considering interactions with matter.

Contribution

It introduces a novel analysis of perturbations in Tsallis holographic dark energy, accounting for the unique boundary-based nature of the model and horizon perturbations.

Findings

Dark energy perturbations do not grow infinitely but tend to freeze or vanish.

Perturbations can asymptotically freeze when considering realistic interactions with matter.

The analysis accounts for the non-additive nature of Tsallis entropy in holographic models.

Abstract

We investigated evolution of metric and density perturbations for Tsallis model of holographic dark energy with energy density $\sim L^{2\gamma - 4}$, where $L$ is length of event horizon or inverse Hubble parameter and $\gamma$ is parameter of non-additivity close to $1$. Because holographic dark energy is not an ordinary cosmological fluid but a phenomena caused by boundaries of the universe, the ordinary analysis for perturbations is not suitable. One needs to consider perturbations of the future event horizon. For realistic values of parameters it was discovered that perturbations of dark energy don't grow infinitely but vanish or freeze. We also considered the case of realistic interaction between holographic dark energy and matter and showed that in this case perturbations also can asymptotically freeze with time.