论文标题
互动Tachyon模型中巴罗全息暗能的拉格朗日重建
Lagrangian reconstruction of Barrow holographic dark energy in interacting tachyon model
论文作者
论文摘要
我们考虑了Tachyon暗能量模型与Barrow全息暗能量（BHDE）之间的对应关系。后者是一种基于全息原理与巴罗熵的应用，而不是通常的Bekenstein-Hawking，这是一种修改的方案。在弯曲的弗里德曼·罗伯逊 - 漫游者宇宙中，我们在弯曲的弗里德曼·罗伯逊 - 漫游者宇宙中重建了tachyon标量场的动力学。结果，我们表明tachyon场表现出非平凡的动力学。在平坦的宇宙中，$ \ dot t^2 $必须始终消失，独立于相互作用的存在。这意味着对状态方程参数的$ω_d= -1 $，进而用于建模宇宙恒定行为。另一方面，对于非灯泡宇宙和Barrow参数的各种值，我们发现$ \ dot t^2 $单调减少，以增加$ \ cos（r_h/a）$和$ \ cosh（r_h/a）$，其中$ r_h $和$ r_h $和$ a $是未来的事件视频和尺度因子。具体而言，封闭的宇宙的$ \ dot t^2 \ ge0 $，而开放的$ \ dot t^2 <0 $，实际上不允许。我们最终评论了BHDE中的通货膨胀机制和跨普兰克审查猜想，并讨论了我们模型的观察性一致性。
We consider a correspondence between the tachyon dark energy model and Barrow holographic dark energy (BHDE). The latter is a modified scenario based on the application of the holographic principle with Barrow entropy instead of the usual Bekenstein-Hawking one. We reconstruct the dynamics of the tachyon scalar field $T$ in a curved Friedmann-Robertson-Walker Universe both in the presence and absence of interactions between dark energy and matter. As a result, we show that the tachyon field exhibits a non-trivial dynamics. In a flat Universe, $\dot T^2$ must always be vanishing, independently of the existence of interaction. This implies $ω_D=-1$ for the equation-of-state parameter, which in turn can be used for modeling the cosmological constant behavior. On the other hand, for a non-flat Universe and various values of Barrow parameter, we find that $\dot T^2$ decreases monotonically for increasing $\cos(R_h/a)$ and $\cosh(R_h/a)$, where $R_h$ and $a$ are the future event horizon and the scale factor, respectively. Specifically, $\dot T^2\ge0$ for a closed Universe, while $\dot T^2<0$ for an open one, which is physically not allowed. We finally comment on the inflation mechanism and Trans-Planckian Censorship Conjecture in BHDE and discuss observational consistency of our model.
