论文标题

宇宙加速度和能源条件$λ$ cdm对称触发器$ f(q)$重力

Cosmic acceleration and energy conditions in $Λ$CDM symmetric teleparallel $f(Q)$ gravity

论文作者

Koussour, M., Shekh, S. H., Bennai, M.

论文摘要

在本文中,我们研究了Jimenez等人提出的对称远程触发$ f(q)$重力的框架中的均匀和各向同性FLRW宇宙学模型。 (物理评论D 98.4(2018):044048),其中非金属$ Q $负责重力互动。对于整个分析,我们考虑了$ f \ left(q \右)$重力函数的一种特殊形式,即$ f \ left(q \ right)=αq^{n}+β$(其中$α$,$β$,$β$,$β$,$ n $是$ t \ weft(z \ right)的动态模型常数参数) = \ frac {kt_ {0}} {b} f \ left(z \ right)$,其中,$ f \ left(z \ right)= w \ left [\ frac {\ frac {k} {k} e^{兰伯特功能。我们已经讨论了两个函数的情况:线性$ f(q)$模型to $ n = 1 $,$ n = 2 $的二次。在这两个模型中,我们都在能量条件的帮助下验证了模型的有效性以及一些物理参数,例如状态参数方程,混蛋参数,状态捕获参数,并进行了详细讨论,并将其与观察数据进行了比较。

In this paper, we study a spatially homogeneous and isotropic FLRW cosmological model in framework of the symmetric teleparallel $f(Q)$ gravity proposed by Jimenez et al. (Physical Review D 98.4 (2018): 044048), where the non-metricity $Q$ is responsible for the gravitational interaction. For the whole analysis we have considered a special form of $f\left(Q\right)$ gravity function i.e. $f\left( Q\right) =αQ^{n}+β$ (where $α$, $β$, and $n$ are the dynamical model constant parameters) in the direction of $t\left( z\right) =\frac{kt_{0}}{b}f\left( z\right)$, where, $f\left( z\right) =W\left[ \frac{b}{k}e^{\frac{b-\ln \left(1+z\right) }{k}}\right] $ and $W$ denotes the Lambert function. We have discussed two cases of the function: linear $f(Q)$ model towards $ n=1$ and quadratic for $n=2$. In both the model we had verified the validity of the models with the help of energy conditions along with some physical parameters like equation of state parameter, jerk parameter, statefinder parameters are also discussed in details and compared it with the observational data.

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