论文标题
测试Lambert $ W $带有观察性哈勃参数数据的状态方程
Testing Lambert$W$ equation of state with observational Hubble parameter data
论文作者
论文摘要
在本文中，我们调查了宇宙是由lambert $ w $状态参数方程所描述的单个深色流体驱动的，$ w_ {eff} $，本质上取决于两个参数$ \ vartheta_ {1} $ {1} $和$ \ \ \ \ \ vartheta_ {2} $，这需要从观察中固定。我们使用$ h（z）$测量值的最新51个数据点获得了这些参数的约束，跨越红移范围$ 0.07 \ leq z \ leq leq 2.36 $。本研究表明，在过渡红移下减速后，宇宙确实正在经历一个加速的扩展阶段，$ z_ {t} = 0.77 \ pm0.03 $（$1σ$），并且与最近的观察结果一致。我们还发现，在低红移时，$ w_ {eff} $仅在典型制度（$ -1 <w_ {eff} < - \ frac {1} {3} $）内进化。发现其现值为$ -0.96 \ pm0.02 $（$1σ$）。 $ w_ {eff} $的现值非常接近宇宙常数$λ$的事实，这意味着我们提出的状态参数方程可能是暗物质和暗能量的统一。此外，我们将所考虑模型的$ H（Z）$与$λ$ CDM型号的演变进行了比较。最后，我们观察到，对于最适合的情况，这两个模型之间的差异在$ z \ sim 0.67 $中可忽略不计。
In this paper, we investigate the possibility that the Universe is driven by a single dark fluid described by a Lambert $W$ equation of state parameter, $w_{eff}$, which is essentially dependent on two parameters $\vartheta_{1}$ and $\vartheta_{2}$ which need to be fixed from observations. We obtain the constraints on these parameters using the latest 51 data points of $H(z)$ measurements, spanning the redshift range $0.07\leq z \leq 2.36$. The present study shows that the Universe is indeed undergoing an accelerated expansion phase following the decelerated one at the transition redshift, $z_{t}=0.77\pm0.03$ ($1σ$) and is well consistent with the recent observations. We also find that at low redshifts, $w_{eff}$ evolves only in the quintessence regime ($-1<w_{eff}<-\frac{1}{3}$) within $1σ$ confidence level. Its present value is found to be $-0.96\pm0.02$ ($1σ$). The fact that the present value of $w_{eff}$ is very close to the Cosmological Constant $Λ$ implies that our proposed equation of state parameter might serve as a unification of dark matter and dark energy. Furthermore, we compare the evolution of $H(z)$ for the model under consideration with that of the $Λ$CDM model. Finally, we observe that for the best-fit case, the differences between the two models are negligible at $z\sim 0.67$.
