$f(R,T)$引力场中体粘性宇宙的存在性及与观测数据的对抗
Existence of bulk viscous universe in $f(R,T)$ gravity and confrontation with observational data
摘要：
本文研究了在$f(R,T)$引力场中的体粘性宇宙，其中$R$和$T$分别是Ricci标量和能量动量张量的迹。在考虑标度因子的幂律形式下，我们得到了修正引力场方程的显式解。从宇宙时间和红移两个方面导出了哈勃参数和减速参数。我们已经估计了这些参数的观测哈勃数据和SN Ia数据集的现值。在1 $σ$水平，$q_{0}$和$m$的估计值以$q_{0}=-0.30 \pm 0.05$ \& $ m = 0.70 \pm 0.02 $的形式获得，其中$q_{0}$是减速参数的当前值，$m$是模型参数。讨论了各向异性LRS Bianchi I型模型的能量条件和Om（z）分析。
英文摘要：
In this paper we have investigated a bulk viscous universe in $f(R,T)$ gravity where $R$ and $T$ are the Ricci scalar and trace of energy momentum tensor respectively. We have obtained explicit solutions of field equations in modified gravity by considering the power law form of scale factor. The Hubble parameter and deceleration parameter are derived in terms of cosmic time and redshift both. We have estimated the present values of these parameters with observational Hubble data and SN Ia data sets. At 1$σ$ level, the estimated values of $q_{0}$ and $m$ are obtained as $q_{0}=-0.30 \pm 0.05$ \& $ m = 0.70 \pm 0.02 $ where $q_{0}$ is the present value of deceleration parameter and $m$ is the model parameter. The energy conditions and Om(z) analysis for the anisotropic LRS Bianchi type I model are also discussed.
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