A Note on Tsallis Holographic Dark Energy

TL;DR

This paper investigates how different IR cutoffs affect the Tsallis holographic dark energy model's ability to describe cosmic acceleration and analyzes its stability and cosmological implications.

Contribution

It introduces the effects of various IR cutoffs on THDE and demonstrates that certain cutoffs can successfully model an accelerating universe, unlike traditional HDE.

Findings

Particle horizon cutoff allows THDE to describe accelerated expansion.

IR cutoffs influence the evolution and stability of THDE models.

Interaction between dark sectors supports cosmic acceleration.

Abstract

We explore the effects of considering various infrared (IR) cutoffs, including the particle horizon, Ricci horizon and Granda-Oliveros (GO) cutoffs, on the properties of Tsallis holographic dark energy (THDE) model, proposed inspired by Tsallis generalized entropy formalism \cite{THDE}. Interestingly enough, we find that for the particle horizon as IR cutoff, the obtained THDE model can describe the accelerated universe. This is in contrast to the usual HDE model which cannot lead to an accelerated universe, if one consider the particle horizon as IR cutoff. We also investigate the cosmological consequences of THDE under the assumption of a mutual interaction between the dark sectors of the Universe. It is shown that the evolution history of the Universe can be described by these IR cutoffs and thus the current cosmic acceleration can also been realized. The sound instability of THDE models for each cutoff are also explored, separately.