论文标题

通过动力学系统分析在F(Q,T)重力中具有动力学系统分析的宇宙学参数的进化行为

Evolutionary behaviour of cosmological parameters with dynamical system analysis in f (Q, T) gravity

论文作者

Pati, Laxmipriya, Narawade, S. A., Tripathy, S. K., Mishra, B.

论文摘要

我们已经在各向同性和同质时代中调查了$ f(q,t)$重力中宇宙的加速行为。我们最初以$ f(q,t)=αq^{m}+βT$的一般形式得出动态参数[Xu等,Eur。物理。 J. c,\ textbf {79},708(2019)],然后将其分为两种情况(i)一个$ m = 1 $的情况,而(ii)$β= 0 $。在第一种情况下,它减少到功能$ f(q,t)$的线性形式和第二个情况会导致非赞誉$ q $的较高功率。以假定量表因子的假定形式,构建了模型并研究了其进化行为。几何参数以及状态参数方程的获得,并发现在宇宙学观察的首选范围内。目前$ω$和$ω__{eff} $的行为中已经注意到边缘变化。在这两种情况下都违反了强大的能源条件。已经对模型进行了动力学分析。

We have investigated the accelerating behaviour of the universe in $f(Q,T)$ gravity in an isotropic and homogeneous space-time. We have initially derive the dynamical parameters in the general form of $f(Q,T)=αQ^{m}+βT$ [Xu et al., Eur. Phys. J. C, \textbf{79}, 708 (2019)] and then split it into two cases (i) one with $m=1$ and the (ii) other with $β=0$. In the first case, it reduces to the linear form of the functional $f(Q,T)$ and second case leads to the higher power of the nonmetricity $Q$. In an assumed form of the hyperbolic scale factor, the models are constructed and its evolutionary behaviours are studied. The geometrical parameters as well the equation of state parameter are obtained and found to be in the preferred range of the cosmological observations. Marginal variation has been noticed in the behaviour of $ω$ and $ω_{eff}$ at present time. The violation of strong energy conditions in both the cases are shown. The dynamical system analysis for the models has been performed.

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