Tachyon model of Tsallis holographic dark energy

Yang Liu

doi:10.1140/epjp/s13360-021-01573-y

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2023 Impact factor 2.8

EPJ PLUS - Condensed Matter and Complex Systems

Eur. Phys. J. Plus (2021) 136: 579
https://doi.org/10.1140/epjp/s13360-021-01573-y

Regular Article

Tachyon model of Tsallis holographic dark energy

Yang Liu^a

, Munich, Bayern, Germany

^a xijubear2020@Outlook.com

Received: 3 February 2021
Accepted: 17 May 2021
Published online: 26 May 2021

Abstract

In this paper, we consider the correspondence between the tachyon dark energy model and the Tsallis holographic dark energy scenario in an FRW universe. We demonstrate the Tsallis holographic description of tachyon dark energy in an FRW universe and reconstruct the potential and basic results of the dynamics of the scalar field which describe the tachyon cosmology. In a flat universe, in the tachyon model of Tsallis holographic dark energy, independent of the existence of interaction between dark energy and matter or not, ${\dot{T}}^{2}$ $\dot{T}^2$ must always be zero. Therefore, the equation of state $ω_{D}$ $\omega _D$ is always $- 1$ $$-1$$ in such a flat universe. For a non-flat universe, ${\dot{T}}^{2}$ $\dot{T}^2$ cannot be zero so that $ω_{D} \neq - 1$ $\omega _D \ne -1$ which cannot be used to explain the origin of the cosmological constant. ${\dot{T}}^{2}$ $\dot{T}^2$ monotonically decreases with the increase in $cos (R_{h} / a)$ $\cos (R_\mathrm{h}/a)$ and $cosh (R_{h} / a)$ $\cosh (R_\mathrm{h}/a)$ for different $δ$ $\delta$ s. In particular, for an open universe, ${\dot{T}}^{2}$ $\dot{T}^2$ is always larger than zero, while for a closed universe, ${\dot{T}}^{2}$ $\dot{T}^2$ is always smaller than zero which is physically invalid. In addition, we conclude that with the increase in $cos (R_{h} / a)$ $\cos (R_\mathrm{h}/a)$ and $cosh (R_{h} / a)$ $\cosh (R_\mathrm{h}/a)$ , ${\dot{T}}^{2}$ $\dot{T}^2$ always decreases monotonically irrespective of the value of $b^{2}$ $$b^2$$ .