Note on Tsallis holographic dark energy

M Abdollahi Zadeh,A Sheykhi,H Moradpour,Kazuharu Bamba

doi:10.1140/epjc/s10052-018-6427-3

Abstract

We explore the effects of considering various infrared (IR) cutoffs, including the particle horizon, the Ricci horizon and the Granda–Oliveros (GO) cutoffs, on the properties of Tsallis holographic dark energy (THDE) model, proposed inspired by Tsallis generalized entropy formalism (Tavayef et al. in Phys Lett B 781:195, 2018). Interestingly enough, we find that for the particle horizon as IR cutoff, the obtained THDE model can describe the late time accelerated universe. This is in contrast to the usual HDE model which cannot lead to an accelerated universe, if one considers the particle horizon as the 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 be realized. The sound instability of the THDE models for each cutoff are also explored, separately.

Highlights

Since gravity is a long-range interaction, one can use the generalized statistical mechanics to study the gravitational systems [61–78]
It is well-known that holographic dark energy (HDE) model with particle horizon as the IR cutoff cannot lead to an accelerated universe and it bearing Eq (1) in mind, the energy density of Tsallis holographic dark energy (THDE) is obtained as ρD = B R2pδ−4, (20)
By considering various IR cutoffs, including the particle horizon, the Ricci horizon and the GO cutoff in the background of the FRW universe, we investigated the evolution of the THDE models and studied their cosmological consequences

Summary

Introduction

Since gravity is a long-range interaction, one can use the generalized statistical mechanics to study the gravitational systems [61–78] In this regard, due to the fact that the black hole entropy can be obtained by applying the Tsallis statistics to the system [61,62,63], three new HDE models with titles THDE, SMHDE and RHDE have recently been proposed [1,64,65]. We study the evolution of the Universe by considering an interaction between DM and THDE whose IR cutoff is the apparent horizon. The last section is devoted to a summary and concluding remarks

Interacting THDE with Hubble cutoff

Non-interacting

Interacting

Closing remarks