In this paper, a new form of dark energy, known as Tsallis holographic dark energy (THDE), with IR cutoff as Hubble horizon proposed by Tavayef et al. Tsallis holographic dark energy, Phys. Lett. B 781 (2018) 195 has been explored in Bianchi-III model with the matter. By taking the time subordinate deceleration parameter, the solution of Einstein’s field equation is found. The Universe evolution from earlier decelerated to the current accelerated phase is exhibited by the deceleration parameter acquired in the THDE model. It can be seen that the derived THDE model is related to an accelerating Universe with quintessence ([Formula: see text]). The squared sound speed [Formula: see text] also suggests that the THDE model is classically stable at present. In addition, the quintessence phase of the THDE model is analyzed with swampland conjecture to reformulate the accelerating expansion of the Universe.

中文翻译：

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Bianchi-III宇宙中Tsallis全息暗能量的沼泽地标准和宇宙学行为

在本文中，Tavayef 等人提出了一种新形式的暗能量，称为 Tsallis 全息暗能量 (THDE)，其红外截止为哈勃视界。Tsallis 全息暗能量，Phys。莱特。B 781 (2018) 195 已在 Bianchi-III 模型中进行了探索。通过取时间从属减速参数，得到爱因斯坦场方程的解。从早期减速阶段到当前加速阶段的宇宙演化由 THDE 模型中获得的减速参数展示。可以看出，推导的 THDE 模型与一个加速宇宙的精髓有关（[公式：见正文]）。平方声速 [公式：见正文] 也表明 THDE 模型目前是经典稳定的。此外，