论文标题
与混合扩张法相互作用的Tsallis和Rényi全息暗能
Interacting Tsallis and Rényi Holographic Dark Energy with Hybrid Expansion Law
论文作者
论文摘要
该手稿介绍了Tsallis全息暗能量（THDE）和Rényi全息暗能量（RHDE）的动力学，该动态是由FRW时空中非线性相互作用所规定的，并以复合功率法律 - 表达（Hybrid）形式而演化的比例因子。为了构建这些全息暗能模型的能量密度，我认为哈勃截止值为IR极限。我发现减速参数在与观测值一致的红移$ z $上进行签名翻转。尽管假设值接近$ -1 $ in $ z = 0 $，但两种HDE模型的EOS参数$ω_{de} $都表现出非常相反的动力学行为，因此与当前的观察值一致。接下来，我发现平方速度$ c_ {s}^{2} $对于确保对扰动的稳定性的稳定性是阳性的，而对于RHDE模型，$ c_ {s}^{2}^{2} <0 $暗示对扰动的不稳定。 Furthermore, I analyzed the evolutionary behavior of the EoS parameter of the HDE models by constructing the $ω_{de}-ω_{de}^{'}$ plane and find that the plane lies in the freezing region for the THDE model and in the thawing region for the RHDE model.
The manuscript presents the dynamics of Tsallis holographic dark energy (THDE) and Rényi holographic dark energy (RHDE) prescribed by a non-linear interaction in the FRW spacetime and for a scale factor evolving with a composite power law-exponential (hybrid) form. To construct the energy densities of these holographic dark energy models, I assume the Hubble cutoff to be the IR limit. I find that the deceleration parameter undergoes a signature flipping at a redshift $z$ consistent with observations. The EoS parameter $ω_{de}$ for both the HDE models exhibit quite contrasting dynamical behavior despite assuming values close to $-1$ at $z=0$ and therefore consistent with current observations. Next, I find the squared sound speed $c_{s}^{2}$ to be positive for the THDE model ensuring stability against perturbations, whereas for the RHDE model, $c_{s}^{2}<0$ implying instability against perturbations. Furthermore, I analyzed the evolutionary behavior of the EoS parameter of the HDE models by constructing the $ω_{de}-ω_{de}^{'}$ plane and find that the plane lies in the freezing region for the THDE model and in the thawing region for the RHDE model.
