Bianchi Ⅲ型THDE混合展开模型
Bianchi type-III THDE quintessence model with hybrid expansion law
摘要：
目前的研究调查的Tsallis全息暗能量（THDE）模型的行为在一个均匀和各向异性的Bianchi III型（B-III）时空的精髓。我们利用两个条件（i）模型中的膨胀标量（$θ$）与剪切标量（$σ$）成比例;（ii）混合膨胀律$a = t^βe^{γt}$，其中$β>0$，$γ>0$ .我们的研究基于Ia型超新星（SNIa）数据，结合CMB和BAO观测（Giostri et al，JCAP 3，27（2012），arXiv：1203.3213v2[astro-ph.CO]），哈勃常数和减速参数的当前值分别为$H_{0} = 73.8$和$q_{0} = -0.54$。用这些数据编译我们的理论模型，我们分别得到了$γ= 0.5 ~ \& ~ 1$的$β= 2.1445~ \& ~ 2.1154$。我们已经完成了一种新的宇宙模型，其膨胀发生在当前的加速阶段的限制。讨论了标量场模型与THDE模型的一致性。为了理解宇宙，我们还建立了距离模量，亮度距离和角直径距离的关系。一些几何和物理方面的THDE模型也突出显示。
英文摘要：
The current research investigates the behavior of the Tsallis holographic dark energy (THDE) model with quintessence in a homogeneous and anisotropic Bianchi type-III (B-III) space-time. We construct the model by using two conditions (i) expansion scalar ($θ$) is proportionate to shear scalar ($σ$) in the model and (ii) hybrid expansion law $a = t^βe^{γt}$, where $β>0$, $γ>0$. Our study is based on Type Ia supernovae (SNIa) data in combination with CMB and BAO observations (Giostri et al, JCAP 3, 27 (2012), arXiv:1203.3213v2[astro-ph.CO]), the present values of Hubble constant and deceleration parameter are $H_{0} = 73.8$ and $q_{0} = -0.54$ respectively. Compiling our theoretical models with this data, we obtain $β= 2.1445~ \& ~ 2.1154$ for $γ= 0.5 ~ \& ~ 1$ respectively. We have completed a new type of cosmic model for which the expansion occurs to the current accelerated phase for the restraints. We have discussed the conformity among the scalar field model of quintessence and THDE model. To understand the Universe, we have also established the relations for Distance modulus, Luminosity Distance, and Angular-diameter distance. Some geometric and physical aspects of the THDE model are also highlighted.
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