论文标题

在F(Q,T)重力中具有观察约束的过境宇宙学模型

Transit cosmological models with observational constraints in f(Q, T) gravity

论文作者

Pradhan, Anirudh, Dixit, Archana

论文摘要

该宇宙学模型是对重力(Q,t)$重力理论的研究,该理论最近提出了Xu {\ it等}(Eur。Phys。J.C {\ Bf 79},708(2019))。在这种重力理论中,该动作包含一个任意函数$ f(q,t)$,其中$ q $是非物质的,而$ t $是物质流体的能量弹药张量的痕迹。在我们的研究中,我们采用了$ f(q,t)$ q $的函数$ q $,$ t $ in $ f(q,q,t)=αq+βq^{2}+γt$其中$α$,$β$和$β$和$β$是模型参数,由$ f(r,t)$ GREAT激励。我们在Friedmann-Lemaitre-Robertson-Walker(FLRW)Universe中获得了各种宇宙学参数。哈勃参数$ h $,减速参数$ q $等在比例因素方面以及通过限制能源保存法律的红移$ z $方面。对于模型上的观察约束,我们使用可用数据集(例如Hubble数据集)$ H(Z)$,关节光曲线分析(JLA)数据集(JLA)数据集和Union $ 2.1 $ $ 2.1 $汇编,通过应用$ r^{2} $ - 测试$ - 测试公式。我们计算了各种观察参数的当前值,即。 $ h_ {0} $,$ q_ {0} $,$ t_ {0} $和statefinder参数$(s,r)$,这些值非常接近标准宇宙学模型。另外,我们已经观察到,减速参数$ q(z)$显示签名 - 浮动(过渡)$ 0.423 \ leq z_ {t} \ leq0.668 $,通过其从减速到加速度扩展为州(EOS)$ -1.071 $ 0.071 \ leq for-0.96 $ 0.96 $ 0.96 $ 0.96 $ 0.96 $ 0.96 $ 0.96 $ 0.96 $ 0.96.99668 $。 z \ leq3 $。

This cosmological model is a study of modified $f(Q,T)$ theory of gravity which was recently proposed by Xu {\it et al.} (Eur. Phys. J. C {\bf 79}, 708 (2019)). In this theory of gravity, the action contains an arbitrary function $f(Q,T)$ where $Q$ is non-metricity and $T$ is the trace of energy-momentum tensor for matter fluid. In our research, we have taken the function $f(Q,T)$ quadratic in $Q$ and linear in $T$ as $f(Q,T)=αQ+βQ^{2}+γT$ where $α$, $β$ and $γ$ are model parameters, motivated by $f(R,T)$ gravity. We have obtained the various cosmological parameters in Friedmann-Lemaitre-Robertson-walker (FLRW) Universe viz. Hubble parameter $H$, deceleration parameter $q$ etc. in terms of scale-factor as well as in terms of redshift $z$ by constraining energy-conservation law. For observational constraints on the model, we have obtained the best-fit values of model parameters using the available data sets like Hubble data sets $H(z)$, Joint Light Curve Analysis (JLA) data sets and union $2.1$ compilation of SNe Ia data sets by applying $R^{2}$-test formula. We have calculated the present values of various observational parameters viz. $H_{0}$, $q_{0}$, $t_{0}$ and statefinder parameters $(s,r)$, these values are very close to the standard cosmological models. Also, we have observed that the deceleration parameter $q(z)$ shows signature-flipping (transition) point within the range $0.423\leq z_{t}\leq0.668$ through which it changes its phase from decelerated to accelerated expanding universe with equation of state (EoS) $-1.071\leqω-0.96$ for $0\leq z\leq3$.

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